Question

If a triangle has a hypotenuse with a length of 12 cm and a leg with a length of 10 cm,

how long is the other leg rounded to the nearest tenth?

Answer 1

6.6

Explanation:

The relationship between the sides of a triangle is a^2 + b^2 = c^2, where c is the hypotenuse. Here, c = 12 and a = 10, so...

10^2 + b^2 = 12^2

100 + b^2 = 144

b^2 = 44 subtract 100 from both sides

b =
`√(44)` take the square root of both sides

b = 6.63324

b = 6.6 round to the nearest tenth