Question

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

Answer 1

Answer:

Option B 161.7 cm²

Step-by-step 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 = $\frac{1}{2}$ (Base) (height)

tan 23° = $\frac{height}{Base}$ = $\frac{h}{27.6}$

0.42447 =  $\frac{h}{27.6}$

h = 27.6 × 0.42447 = 11.716 cm

Now area of the triangle =  $\frac{1}{2}$ (27.6) (11.716)

                                         = 161.67 cm² ≈ 161.7 cm²

Answer 2

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