Question

A right triangle has a leg of 3 feet and a hypotenuse of 4 feet. What is the length of the other leg? Enter your answer, as a decimal rounded to the nearest tenth, in the box.

Answer 1

a² + b² = c²
~~~~~~~~
a² + 3² = 4²
a² + 9 = 16
a² = 7
a² = 2.6 ft

Answer 2

Let
`c` be the hypotenuse of the triangle and
`a,b` be the length of the other two sides. Then using Pythagoras theorem,

`image`

Substitute numerical values,
`c=4,b=3`. then,

`image`

The length of the other leg rounded to nearest 10th is
`2.6`.