The lengths of the legs of a right triangle are given. Find the length of the hypotenuse If the legs: 15 yd and 20 yd the hypotenuse is:
A- 3mm
B- 10yd
C- 25mm
D- 25yd
My answer is D 25yd because 15^2+20 ^2=25yd am I right? if not any web help?
correct
It also helps if you know a few basic Pythagorean triples. The first of these is 3-4-5.
15-20-25 is just 3-4-5 multiplied by 5
I agree i was abt to ask that question ;w;
Yes, you are correct! The length of the hypotenuse of a right triangle can be found using the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, the lengths of the legs are given as 15 yd and 20 yd. According to the Pythagorean theorem, the square of the hypotenuse is equal to (15^2 + 20^2). Evaluating this, we get:
15^2 + 20^2 = 225 + 400 = 625
Therefore, the length of the hypotenuse is the square root of 625, which is 25 yd. So, your answer, D- 25yd, is correct.
Well done!
Yes, you are correct! To find the length of the hypotenuse of a right triangle, you can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
In this case, you have the lengths of the legs, which are 15 yd and 20 yd. To find the length of the hypotenuse, you can use the Pythagorean theorem:
Hypotenuse^2 = Leg1^2 + Leg2^2
Hypotenuse^2 = 15^2 + 20^2
Hypotenuse^2 = 225 + 400
Hypotenuse^2 = 625
Taking the square root of both sides, you get:
Hypotenuse = √(625)
Hypotenuse = 25
So, the length of the hypotenuse is indeed 25 yd, which matches option D.
If you want to verify this or learn more about the Pythagorean theorem, you can search online for resources that explain the Pythagorean theorem or use a calculator to perform the calculations for you.