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 = One-halfbh

68.7 cm2
161.8 cm2
381.3 cm2
450.0 cm2



Answer :

Answer: [tex]161.8 \text{ cm}^2[/tex]

Step-by-step explanation:

The length of the other leg of the triangle is [tex]\sqrt{30^2-27.6^2}[/tex].

Therefore, the area of the triangle is [tex]\frac{1}{2} \cdot 27.6 \cdot \sqrt{30^2-27.6^2} \approx 162.2[/tex], which is closest to 161.8 square cm.