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What is the hypotenuse of a 12 foot by 12 foot triangle?
To find the hypotenuse, add 12 squared plus 12 squared. Then take the square root of that product which is 16.9705627.
The hypotenuse of a 30 - 60 - 90 triangle measures 2 feet How long is the short leg of this triangle?
Use the sine ratio: sine 30 degrees = opposite/hypotenuse Then: opposite = 2*sine 30 degrees Answer: 1 foot
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.
A right triangle has two sides that are each 12 feet long to the nearest foot what is the length of the third side?
Use the Pythagorean Theorem: a^2 + b^2 = c^2 where c is the longest side (hypotenuse) of the right triangle. So a = 12 b = 12 (12)^2 + (12)^2 = c^2 144 + 144 = c^2 288 = c^2 *Take the square root of both sides sqrt(288) = c 16.97056... = c After rounding to the nearest foot, you find that c ~= 17ft
What is the perimeter of an equilateral triangle that measures 8 ft on one side?
8 feet x 3 sides = 24 foot perimeter.
What is the hypotenuse of a 12 foot by 12 foot triangle?
To find the hypotenuse, add 12 squared plus 12 squared. Then take the square root of that product which is 16.9705627.
The hypotenuse of a 30 - 60 - 90 triangle measures 2 feet How long is the short leg of this triangle?
Use the sine ratio: sine 30 degrees = opposite/hypotenuse Then: opposite = 2*sine 30 degrees Answer: 1 foot
The hypotenuse of a 30-60-90 triangle measures 2 feet how long is the short leg of the triangle?
Using the cosine ratio: 2*cos(60) = 1 Answer: 1 foot
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.
A kite string makes an angle of 41point3 degrees with the level ground when the kite is 114 ft high how long is the string?
In effect, you have a right-angled triangle with an adjacent angle of 41.3o and an opposite side of 114 feet. There are several ways to find the length of the string (which in effect is the hypotenuse of the triangle), but in this case, the quickest way is to use the sine ratio. For any right-angled triangle: sin angle = opposite/hypotenuse. Rearranging the equation: hypotenuse = opposite/sin angle hypotenuse = 114/sin 41.3o hypotenuse = 172.7268362 feet. Therefore, the string is 173 feet in length correct to the nearest foot.
Suppose you have an isosceles triangle and each of the equal sides has a length of foot Suppose the angle formed by those two sides is 45 degrees what is the area?
The area of a triangle with two sides equal to 1 foot and the angle between those two sides equal to 45 degrees is 0.354 square feet.Draw a triangle, one side of length 1, from the origin to the right along the x axis. The second side, also of length 1, goes up and to the right from the origin at an angle of 45 degrees with respect to the x axis. The third side connects the two end points of those line, but the length of that line does not matter.Draw a fourth line from the top of the triangle straight down to the x axis. That is the height of the triangle, and it is also sine(45 degrees), which is one half the square root of two or 0.707. Take the base (1), multiply by the height (0.707) and divide by 2 and you get 0.354.Technically, the fourth line is sine(45 degrees) divided by the hypotenuse, but since the hypotenuse is 1 (the second line), it was omitted in the prior paragraph for clarity.
A right triangle has two sides that are each 12 feet long to the nearest foot what is the length of the third side?
Use the Pythagorean Theorem: a^2 + b^2 = c^2 where c is the longest side (hypotenuse) of the right triangle. So a = 12 b = 12 (12)^2 + (12)^2 = c^2 144 + 144 = c^2 288 = c^2 *Take the square root of both sides sqrt(288) = c 16.97056... = c After rounding to the nearest foot, you find that c ~= 17ft
If an isosceles tiangle has two 16 foot sides that meet at a right angle what is the length of the remaining side?
The length of the hypotenuse is [ 16 sqrt(2) ] = 22.627 ft (rounded)
What is the perimeter of an equilateral triangle that measures 8 ft on one side?
8 feet x 3 sides = 24 foot perimeter.
If one side of a right angle measures 6 feet and another measures 8 feet what does the third side measure?
Use Pythagoras' theorem: the square on the hypotenuse is equal in area to the sum of the squares on the two other sides. So if the unknown side is the hypotenuse: 62 + 82 = x2 x2 = 100 x = 10 (This is fundamentally the same as the classic 3-4-5 triangle, employed by the ancient Egyptians to form right angles.) If the 8 foot side is the hypotenuse: 62 + x2 = 82 x2 = 64 - 36 = 28 x = 5.29 (to two decimal places).
An airplane is descending 225 feet per 1000 feet of horizontal distance covered. What is the cosine of the angle that its path of descent makes with the horizontal?
We find that 0.9756 is the cosine of the angle that the path of descent makes with the horizontal. We need a little drawing. Draw a horizontal line about 4" long and another line about 1" long that goes straight up from the left end of the line. Don't measure. Estimate. You've drawn two legs of a right triangle. Now connect the top of the 1" line with the right end of the 4" line. That's your "path of descent" for the aircraft in the question. It's a hypotenuse. And you've made a scale drawing of the problem. That scale thing is important so that if you mess up, you improve your chances of seeing a problem by applying your math to the scale drawing and "eyeballing it" to see if it seems logical. Make sense? Good. Jump with me. The "angle that its path of descent makes with the horizontal" is that angle on the right. The cosine of that angle is the relationship of the adjacent side (the 1000 foot side) to the hypotenuse, which in our case is 1000 feet over the hypotenuse. But what is the hypotenuse? We drew a right triangle, and the lengths of the sides were 225 and 1000 and the hypotenuse. The sum of the squares of the two sides is the square of the hypotenuse. Let's find the square of the hypotenuse. Our 225 squared is 50,625 Our 1,000 squared is 1,000,000 The sum is 1,050,625 We now have the square of the length of our hypotenuse, so to find the length of the hypotenuse itself we need to find the square root of 1,050,625 which is 1,025 The cosine of the angle of descent is the adjacent side over the hypotenuse, and that's 1000 (the adjacent side) over the 1025 (the hypotenuse), for an answer of 0.9756
Does a triangle with 3 ft and 4 ft sides and a non-included angle of 70 degrees make a unique triangle please explain how you got your answer?
No, it does not make a unique triangle since the 70 degree angle could be at the end of the 3 ft side or the 4 foot side.
