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If 45- 45- 90 triangle has a hypotenuse of length 18 units What is the length of one of the legs?
If a 45- 45- 90 triangle has a hypotenuse of length 18 units, the length of both of the other legs is: 12.73 units.
What is the length of the hypotenuse of a right triangle with legs of lengths 6 and 8?
Being a right-triangle, apply Pythagoras. Hence h^(2) = a^(2) + b^(2) Substitute h^(2) = 6^(2) + 8^(2) h^(2) = 36 + 64 h^(2) = 100 Square root BOTH sides. h = 10 (The length of the hypotenuse.
What is the length of the third side of an equilateral triangle have?
The length of the third side of an equilateral triangle is the same as the lengths of both of the other two sides.
If you have a 45-45-90 triangle with a hypotenuse of 16 root 2 how do you find the other sides?
The other sides are both 16. This is because in a 45-45-90 triangle the legs are congruent because of the isosceles triangle theorem, and also the hypotenuse of the triangle is equal to the leg times root 2. That is because of the 45-45-90 triangle theorem. So in a summary the legs are congruent and the hypotenuse is equal to the leg times root 2.
How do you find the hypotenuse of a right triangle?
It is the longest side, directly across from the right angle. You can calculate it knowing a side and an angle (which gives you both non-right angles) or more typically by using the Pythagorean Theorem, which gives the formulaa2 + b2 = c2 where a and b are the sides and c the hypotenuse.Example : A right triangle with sides adjacent to the right angle of 3 and 4 has a hypotenuse length of 5, because 32 + 42 = 52.To Find The Hypotenuse LengthGiven the lengths of the other two sides, a and b, square each of them, add them together, and take the square root of the result.Example : a right triangle with the two sides of length 9 and 12.(9)2 + (12)2 = c2 (c is the hypotenuse length)81 + 144 = c2 therefore 225 = c2 and c = 15, the hypotenuseUsually you would use Pythagoras' Theorem: a2 + b2 = c2, where c is the hypothenuse.
If the perpendicular sides of a right angle triangle are both 16 inches what's the length of the hypotenuse?
16 sqrt(2) = 22.6274 (rounded)
How do you find the other sides of a right angled isosceles triangle when you know the hypotenuse?
Square the hypotenuse's length, halve this number and then square root the remaining number. This is the length of the other two sides. Explanation: Since this is a right angled isosceles triangle, the two other sides must be equal in length. Pythagoras theorem a2+b2=c2 (c is the hypotenuse). To get c2 we must square the hypotenuse. Since the two other sides are equal in length, a and b must be the same. Therefore a2 and b2 are both halves of c2. Halving c2 will give you both a2 and b2. Now, we just sqaure root a2 or b2 to get the length of these sides.
If 45- 45- 90 triangle has a hypotenuse of length 18 units What is the length of one of the legs?
If a 45- 45- 90 triangle has a hypotenuse of length 18 units, the length of both of the other legs is: 12.73 units.
What is the length of one side of a 45-45-90 degree triangle if one side length is 17?
If only one of the side lengths is 17, both of the other two sides are the same length. Using Pythagoras's Theorem, a2=b2+c2 This means that 289=2a2 because 17 is the hypotenuse and both of the remaining sides are equal. Therefore the other two sides equal 12.02. If both the sides of the triangle are 17 units long, the hypotenuse equals Sqrt(172+172)=24.04
In a right angled triangle the two sides that form the right angle are both 5 inches calculate the length of the other side the hypotenuse?
7.07 inches.
If you know the length of the hypotenuse on a right-angled triangle how do you find the length of the other two sides when they are the same length?
We can use the pythagorean theorem to solve that: a2 + b2 = c2 You know the length of c (it's the hypotenuse). You know that the other two sides are equal, in other words a = b, so the equation becomes: a2 + a2 = c2 2a2 = c2 Once you have squared c, divide it by two. Then take the square root of both sides of the equation and then a = the length of the other two sides of the triangle.
A 45-45-90 triangle has a hypotenuse of length 7 - what is the length of the legs?
The length of both of the other legs is: 4.95
Can you find both sides of a triangle if the hypotenuse and perimeter is given?
Yes with a bit of give and take its sides can eventually be worked out.
What is the length of the hypotenuse of a right triangle with legs of lengths 6 and 8?
Being a right-triangle, apply Pythagoras. Hence h^(2) = a^(2) + b^(2) Substitute h^(2) = 6^(2) + 8^(2) h^(2) = 36 + 64 h^(2) = 100 Square root BOTH sides. h = 10 (The length of the hypotenuse.
How do find the perimeter of a triangle?
The easiest way is if you already have the lengths of all three sides of the triangle. In which case, you simply add their lengths together to acquire the perimeter. However, if you only have the lengths of two sides of a triangle, and it's a right triangle"; you can use the Pythagorean Theorem to determine the length of the third side. Note: Here are some quick definitions of terms that will be used in the following equations. A² will represent the height of the triangle. B² will represent the width of the triangle. C² will represent the hypotenuse of the triangle. The "Hypotenuse" is the longest side of a triangle. A "Right Triangle" is a triangle that has an angle measuring 90°. When using the Pythagorean Theorem; if you're attempting to find hypotenuse of a triangle; you use the formula "A² + B² = C²". That is; you square the two known sides; then add the products. Upon doing that, find the square root of the sum of both numbers, and you have the length of the hypotenuse. Upon finding the missing side's length; add the lengths of all three sides, and the resulting number will be the perimeter of the triangle. If you have the length of one side, and the hypotenuse of a right triangle; and are seeking to find the third side's length; you use the formula "C² - A² = B²" or "C² - B² = A²"; depending on which side your attempting to find the length of. Like in the previous equation, add the lengths of all three sides together to acquire the perimeter.
What is the length of the hypotenuse of a right triangle if the leg has a length of 4 cm?
That will depend on the length of the other leg but if both legs are 4 cm then by using Pythagoras its hypotenuse is the square root of 32
What if using pythagorean theorem find the leg of a triangle with a hypotenuse of twelve and side length of fifteen?
The hypotenuse is 15, because in a right triangle the biggest side of it is the hypotenuse. hypotenuse^2 = side^2 + side^2 substitute what you know into the formula; 15^2 = 12^2 + side^2 subtract 12^2 to both sides; 15^2 - 12^2 = side^2 81 = side^2 square both sides and ignore the negative value because the length is positive; 9 = side Thus, the other leg is 9.
