Question

Find the length of the missing side. Leave your answer in simplest radical form.

a.
`√(69)`
b.
`√(269)`
c.
`√(23)`
d.
`√(3)`

Answer 1

a)
`√(69)`

Explanation:

this is a right triangle so you can use the Pythagorean Theorem:

the sum of the legs, squared, is equal to the hypotenuse, squared

10² + b² = 13²

100 + b² = 169

b² = 69

b =
`√(69)`