Question

What is the length of the unknown side of the right triangle? (1 point)

A right triangle with hypotenuse x and legs 7 and 24

7

24

25

31

Answer 1

x^2 = 7^2 + 24^2x^2 =49 + 576x^2 = 625
x = 25

Answer 2

25

Explanation:

According to Pythagoras theorem, we have the next:

For a right triangle with legs a and b and hypotenuse x,

`x^(2)=a^(2)+b^(2)`

In our case, we have the next data:

a = 7 ;

b =24 ;

x = ?

The second picture, show the triangle to solve, that is:

`x^(2)=a^(2)+b^(2)`

`x^(2)=7^(2)+24^(2)`

`x^(2)= 49 + 576`

`x^(2)= 625`, solve x

`x = √(625)`

`x = 25`