Question

A right triangle has one angle that measure 23o. The adjacent leg measures 27.6 cm and the hypotenuse measures 30 cm.

What is the approximate area of the triangle? Round to the nearest tenth.

Area of a triangle =1/2 bh


A. 68.7 cm2

B. 161.7 cm2

C. 381.3 cm2

D. 450.0 cm2
HELP PLEASE

Answer 1

D. 450.0 cm2 Hope I helped and god bless you and have a wonderful day.

Answer 2

Option B 161.7 cm²

Explanation:

In a right angle triangle measure of one angle is given as 23°

Adjacent side or base is given as 27.6 cm.

Hypotenuse length = 30 cm.

We have to find the area of the triangle

Since area of a triangle =
`(1)/(2)` (Base) (height)

tan 23° =
`(height)/(Base)` =
`(h)/(27.6)`

0.42447 =
`(h)/(27.6)`

h = 27.6 × 0.42447 = 11.716 cm

Now area of the triangle =
`(1)/(2)` (27.6) (11.716)

= 161.67 cm² ≈ 161.7 cm²