answersLogoWhite

0


Best Answer

Let the length of the shorter leg be L, then the longer leg is L + 14.

By Pythagoras then 262 = L2 + (L + 14)2 = L2 + L2 + 28L + 196 = 2L2 + 28L + 196

676 = 2L2 + 28L + 196 : 2L2 + 28L - 480 = 0 : L2 + 14L - 240 = 0

This can be factored : L2 + 14L - 240 = (L + 24)(L - 10) = 0

As only a positive number answer applies and this is when L - 10 = 0 : L = 10.

The length of the shorter leg is 10 feet.

User Avatar

Wiki User

โˆ™ 2010-03-22 23:22:25
This answer is:
๐Ÿฆƒ
0
๐Ÿคจ
0
๐Ÿ˜ฎ
0
User Avatar
Study guides

Algebra

20 cards

A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

โžก๏ธ
See all cards

J's study guide

1 card

What is the name of Steve on minecraft's name

โžก๏ธ
See all cards

Steel Tip Darts Out Chart

96 cards

170

169

168

167

โžก๏ธ
See all cards

Add your answer:

Earn +20 pts
Q: The hypotenuse of a right triangle is 26 feet long One leg is 14 feet longer than the other Find the length of the shorter leg?
Write your answer...
Submit
Related questions

How do you find the hypotenuse and longer leg of a 30 60 90 triangle?

If you have the shorter legs length, then for the hypotenuse, just multiply the shorter leg by 2. For the longer leg, multiply the shorter leg by the square root of 3.


The hypotenuse of a triangle is 15 feet long The longer of the two legs is three feet longer than the other Find the length of the shorter leg?

The shorter leg is 9 feet long


How do you find the length of the sides of a right triangle when you know the hypotenuse?

If it is a 45-45-90 triangle, then divide the hypotenuse by the square root of 2. If it is a 30-60-90 triangle, then the shorter leg would be the hypotenuse divided by 2. And the longer leg would be the the shorter leg multiplied by the square root of 3.


How do you find the side lengths of a 20-70-90 triangle?

There are an infinite number of different sets of lengths that will do it. You have to start by choosing the length of one side, and when you do that, here's how to find the others: Shorter leg = (longer leg) x 0.364 Shorter leg = (hypotenuse) x 0.342 Longer leg = (shorter leg) x 2.747 Longer leg = (hypotenuse) x 0.94 Hypotenuse = (shorter leg) / 0.342 Hypotenuse = (longer leg) / 0.94


The hypotenuse of a triangle is 10 feet long The longer of the two legs is two feet longer than the other Find the length of the shorter leg?

The shorter leg is 6 feet long


What is the length of the shorter leg of a right triangle if the longer leg has a length of 45 and the hypotenuse has a length of 53?

Subtract the squared longer leg's squared length from the hypotenuse's square to obtain the squared shorter leg length. Then find the square root of that answer for your final answer. In other words: 53 squared minus 45 squared equals your squared answer.


He length of the longer leg of a right triangle is 3ft more than three times the length of the shorter leg. The length of the hypotenuse is 4ft more than three times the length of the shorter leg. Fin?

The length of the longer leg of a right triangle is 3ftmore than three times the length of the shorter leg. The length of the hypotenuse is 4ftmore than three times the length of the shorter leg. Find the side lengths of the triangle.


Are true statements about a 30-60-90 triangle?

.The hypotenuse is twice as long as the shorter leg The longer leg is twice as long as the shorter leg.


What is the hypotenuse of a triangle is 10 feet long The longer of the two legs is two feet longer than the other Find the length of the shorter leg?

Short leg is 6 feet.


A 30-60-90 triangle has its longer leg of length 7.8 what is the length of the shorter of the two legs?

The shorter leg is 1/2 of the hypotenuse, while the longer leg is (sin60°) times the hypotenuse or about 0.866 times as long. (7.8/0.866) gives the hypotenuse as 9.0 and 9.0/2 = about 4.5 unitsor use the tangent ratio:7.8/tan 60° = 4.5033321 or about 4.5 in length


What is the length of the longer leg of a 30-60-90 triangle to the length of its hypotenuse?

23


In a 30-60-90 triangle if the shorter leg has length p then the longer leg has length and the hypotenuse has length?

Use the rule that the shortest leg has length p, the other leg has length 2p and the hypotenuse has length p*sqrt(3) Where sqrt(number) if the square root of the number.


The ratio of the length of the longer leg of a 30-60-90 triangle to the length of its hypotenuse?

Starting with an equilateral triangle of side 2, dropping a perpendicular from one vertex to the opposite base creates two equal right angled triangles with hypotenuse of length 2, base length 1 and height of length √(22 - 12) = √3 which is the longer leg of the 30-60-90 triangle. Thus the ratio of longer_leg : hypotenuse is √3 : 2


What could be the ratio of the length of of the longer leg of a 30 60 90 triangle to the length of its hypotenuse?

In a 30° 60° 90° triangle, the ratio (long leg)/hypotenuse = sqrt(3)/2 ~ 0.866The ratio (short leg)/hypotenuse = 1/2 = 0.5


What is true of all hypotenuse compared to the other side?

The hypotenuse of any right triangle is longer than either one of the other two sides of the same right triangle. But it's shorter than their sum.


The hypotenuse of a right triangle is 4 inches long One leg is 1 inch longer than the other Find the length of the shorter leg Round to the nearest tenth?

2.3


A 30- 60- 90 triangle has a hypotenuse of length 8.6 What is the length of the longer of the two legs?

7.44 - 7.45


The length of the longest side of a right triangle is 3 more than the length of the shorter side the length of the hypotenuse is 3 more than the length of the longer side find the length of each side?

Let's call the unknown length x and use Pythagoras' theorem: x2+(x+3)2 = (x+6)2 By substituting 9 for x you'll find that only 9 will satisfy the above conditions. Shorter side = 9 units Longer side = 12 units Hypotenuse = 15 units


If the length of the longest side of a right triangle is 3 more than the length of the shorter side the length of the hypotenuse is 3 more than the length of the longer side find length of each side?

9,3,6 The dimensions given above would not be suitable for a right angled triangle which presumably the question is asking about. The dimensions suitable for a right angled triangle in the question are: 9, 12, 15.


How do you solve a 30-60-90 degree?

To solve a 30-60-90 triangle, you need to know the length of one side. The hypotenuse is twice as long as the shortest leg (the side opposite the 30 angle) The longer leg (opposite the 60 angle) is the length of the shorter leg times the square root of 3. So in summary: If you know the hypotenuse, divide it by 2 to find the shorter leg, and multiply that times the square root of 3 to find the longer leg. If you know the longer leg, divide it by the square root of 3 to find the shorter leg, then multiply that by 2 to find the hypotenuse. If you know the shorter leg, multiply it by 2 to find the hypotenuse. Multiply the shorter leg length by the square root of 3 to find the longer leg.


The length of the hypotenuse of a triangle is 20 what is the shorter leg?

You need to know something else to solve: either the long leg or the angle edit: if it is a right triangle you can use a theorem to figure out the other sides. the smallest side is a, the hypotenuse is 2a, the longer leg is a * sqrt (3) if the hypotenuse is 20, the smaller leg is 10.


The hypotenuse of a triangle is 5 feet long The longer of the two legs is one foot longer than the other Find the length of the shorter leg?

The dimensions given are a classic example of Pythagoras' Theorem for finding the lengths of the three sides of a right angled triangle: 52 = 42+32 So the answer your looking for is that the shorter leg is 3 feet long.


What is the ratio of the length of the longer leg of a 30-60-90 triangle to the length of its hypotenuse?

1/2 sqrt(3) = 0.866 (rounded)


What could be the ratio of the length of the longer leg of a 30-60-90 triangle to the length of its hypotenuse?

2 Square Root 3 And 4


The hypotenuse of a right triangle is 6 m long One leg is 1 m longer than the other Find the length of the shorter leg Round to the nearest hundredth?

The shortest leg is 3.72 m long.

People also asked

The hypotenuse of a triangle is 5 feet long The longer of the two legs is one foot longer than the other Find the length of the shorter leg?

View results

The hypotenuse of a triangle is 15 feet long The longer of the two legs is three feet longer than the other Find the length of the shorter leg?

View results

The area of a rectangle is 48 square feet The length is two feet longer than the width What is the width of the rectangle?

View results

The hypotenuse of a right triangle is 25 cm long One leg is 17 cm longer than the other Find the length of the shorter leg?

View results

The perimeter of a rectangle is 10 feet and the area is 6 square feet What is the width of the rectangle?

View results