Question

Find the length of the missing side of the triangle shown below. Round

to the nearest tenth, if necessary.

Answer 1

11.7

Explanation:

You must use pythagorean theorem. a² + b² = c²

a & b are the two legs.

10² + 6² = c²

Expand the exponents.

100 + 36 = c²

136 = c²

`√(136)` =
`√(c)`

11.7 = c

Answer 2

Answer: 11.7 feet.

Explanation:

Use the Pythagorean theorem to find the missing side,
`a^2 + b^2 = c^2`

You are trying to find the hypotenuse, and the two smaller sides are 10 and 6. You can substitute those for a and b to find c:

`6^2 + 10^2 = c^2\\\\36 + 100 = c^2 \\\\136 = c^2\\\\c = √(136)\\\\c = 11.7`

The missing side is 11.7 feet after rounding to the nearest tenth.