Question

One leg of a right triangle has length 7. The lengths of the other two sides are whole numbers. The length of the other leg is ___ And the length of the hypotenuse is ___.

Someone please help me.

Answer 1

sets of three integers that could be right triangles are called pythagorean triples. the only pythagorean triple including 7 is 7, 24, and 25. so the length of the other leg is 24 and the length of the hypotenuse is 25. hope this helped!

Answer 2

Length of other leg is 24 and length of hypotenuse is 25

Explanation:

Whenever we want to find the other two legs of right triangle we have to find such values which satisfies the pythagoras theorem

Here one side is 7

And pythagoras theorem says

`c^2=a^2+b^2`

c is hypotenuse,ais one leg and b is the other leg

We have given say a=7 and we have to find c and b

We can think of c as 25 and b as 24 will satisfy the pythagoras theorem

`25^2=7^2+24^2`

Hence, Hypotenuse is 25 and other leg is 24