Question

Find the missing side of each triangle. Leave your answers in simplest radical form.

2√3 m
A) √ 19 m
c) √5 m
O a
a
Ob b
Oc
√7m
C
Od d
B) √17 m
D) √√2 m

Answer 1

C
`√(5)`

Explanation:

Use pythagorean theorem.

`x^(2)` +
`√(7) ^(2)` = (2
`√(3)) ^(2)`

`x^(2)` + 7 = 12 Subtract 7 from both sides

`x^(2)` = 5 Take the square root of both sides to solve

x =
`√(5)`