Question

If the length of the hypotenuse is 10 m and its base leg is 6 m, what is the length of

its remaining leg?
1. a = 12 m
2.a = 8 m
3.a = 9 m
4.a = 10 m

Answer 1

2.
`a=8` m

Explanation:

Let
`a` = length of the remaining leg

`6^2+a^2=10^2` (using the Pythagorean theorem)

`36+a^2=100`

`a^2=64`

`a=√(64)`

`=8` m

∴ The length of the remaining leg is
`8` m.

Hope this helps :)

Answer 2

a=8m

Explanation:

a²+b²=c²

where a= 6m,c=10m

6²+b²=10²

b²=100-36

b²=64

b=√64=8