Question

The legs of a right triangle measure 6 centimeters and 8 centimeters. How long is the hypotenuse in centimeters?

A. 10cm
B. 11cm
C. 9cm
D. 7cm

Answer 1

10cm

Explanation:

`Hypotenuse^(2)` =
`base^(2) + altitude^(2)`

The hypotenuse can be taken as 'x'. As given in the question, the length of base is 8cm and the altitude is 6cm. So substituting these in the equation, we get:-

`Hypotenuse^(2)` =
`8^(2) + 6^(2)`

`Hypotenuse^(2)` = 64 + 36

`Hypotenuse^(2)` = 100

Hypotenuse =
`√(100)`

Hypotenuse equals 10cm!

Answer 2

10cm ( A )

Explanation:

This would use the Pythagorean Theorem. That means it would be -

a^2_b^2= c^2, in this case, you have 2 of your legs already so those two values would be a&b. you would stick those two into the equation and it should look like this:

6^2+8^2=c^2

then 36+64=c

and then 100=c

after that, you would take the square root of c to get

10!