Question

Find the area of the right triangle. If necessary, round to the nearest tenth.

A right triangle with side 9 meters and hypotenuse of 18 meters.
a.
15.6 m
b.
70.2 m
c.
42.6 m
d.
243 m

Answer 1

b

Explanation:

Let's find the area of the adjacent side.

Applying Pythagoras' Theorem,

(adjacent side)²= 18² -9²

adjacent side
`= √(243)`

adjacent side= 15.588 m (5 s.f.)

Area of triangle= ½ ×base ×height

Area of traingle

`= (1)/(2) *15.588 * 9 \\ = 70.1m \: (nearest \: tenth)`

The nearest answer is B.

*If you rounded of to the nearest tenth for the adjacent side first then use the formula for area of traingle, the result would be exactly 70.2 m.