Question

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

A right triangle with side 10 meters and hypotenuse 18 meters.
a.
75 m
b.
15 m
c.
43 m
d.
150 m

Answer 1

A. 75

Explanation:

Answer 2

a. 75 m

Explanation:

Given,

Length of hypotenuse = 18m

Length of perpendicular = 10 m

To find:

Area of the right angled triangle

Formula to find area of the right angled triangle =
`(perpendicular * base)/(2)`

To find: Length of base

Hypotenuse² = Perpendicular² + Base²

Base² = Hypotenuse² - Perpendicular²

Base² = 18² - 10²

Base² = 324 - 100

Base² = 224

Base =
`√(224)`

Base = 14.97 m

Area of the right angled triangle =
`(perpendicular * base)/(2)`

⇒
`(10 * 14.87)/(2)`

⇒ 74.85 m² or,

round to the nearest tenth = 75 m²