Question

For the values a = 7.2 which is a leg of a right triangle, and value c = 11.1, which is the hypotenuse, find the length of the other leg, b, to the nearest tenth.

Answer 1

the answer is b=8.4

Answer 2

Phythagoras theorem:
hypotenuse²=leg₁²+leg₂²

Data:
leg₂=7.2
hypotenuse=11.1

Therefore:

(11.1)₂=leg₁² +(7.2)²
123.21=leg₁²+51.84
leg₁²=123.21 - 51.84
leg₁²=71.37
leg¹=√(71.37)
leg₁=8.4

Answer: b=8.4