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91Ó°ÊÓ

Use a calculator or the trigonometry table on page311to find the area of each figure to the nearest tenth.

An isosceles triangle with a32∘,vertex angle and a base of 8cm

Short Answer

Expert verified

The area of given figure is approximately 16.96 square unit.

Step by step solution

01

Step 1. Analyze the given information.

Base=8 andθ=32∘

Since in an isosceles triangle two sides are equal in length, then we get two sides of triangle are8,8

02

Step 2. Concept Used.

Here, we shall use the formula

A=12absinθ

Where a.b are the sides of triangle and θis angle between them.

03

Step 3. Find the area of triangle.

So, the area of triangle

A=12(8)(8)sin32∘=4×8×0.53≈16.96

Therefore, the area of given figure is 16.96Square unit.

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