Question

The hypotenuse of a right triangle measures 58 cm and one of its legs measures 42 cm. What is the length of the missing leg? 10 cm 16 cm 40 cm 71 cm

Answer 1

if the hypotenuse is 58cm, and one of the others legs is 42cm the answer would be 40cm

Step-by-step explanation:

Here you have to use the formula


`{a}^(2) + {b}^(2) = {c}^(2)`
Then you have to pose the formula in terms of one of the legs, so:


`{a}^(2) = {c}^(2) - {b}^(2)`

`a = \sqrt{ {c}^(2) - {b}^(2)}`
So when you change the letter for numbers you have that:


`a = \sqrt{ {58}^(2) - {42}^(2) }`

a=40