Question

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

A right triangle with hypotenuse x and legs 21 and 20
A)21
B)29
C)400
D)441

Answer 1

B

Explanation:

Using Pythagoras' identity

The square on the hypotenuse is equal to the sum of the squares on the two legs, that is

x² = 21² + 20 ² = 441 + 400 = 841 ( take square root of both sides )

x =
`√(841)` = 29 → B

Answer 2

B)29

Explanation:

`{x}^(2) = {21}^(2) + {20}^(2)`

`{x}^(2) = 441 + 400`

`{x}^(2) = 841`

`x = √(841)`

`x = 29`