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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


A68.7 cm2

B161.7 cm2

C381.3 cm2

D450.0 cm2

Verified Answer :

HomertheGenius

sin 23° = Opposite/Hypotenuse = b / c
0.39 = b / 30
b = 0.39 · 30
b = 11.722 cm
Area of a triangle:
A = 1/2 b h
A = 1/2 · 11.722 · 27.6
A  ≈ 161.7 cm²
Answer:
B ) 161.7 cm²

The area or the triangle is 161.7cm².

How to calculate the value?

From the information given, the following can be deduced:

sin 23° = opposite/hypotenuse

Let opposite = b

0.39 = b/30

b = 30 × 0.39 = 11.72

Area of triangle = 1/2 × b × h

= 1/2 × 11.72 × 27.6

= 161.7cm²

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brainly.com/question/1058720

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