Chapter 11: Q24. (page 432)

Use a calculator or the trigonometry table on page311to find the area of each figure to the nearest tenth.
An isosceles triangle with a $32^{\circ}$ ,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

Step 1. Analyze the given information.

Base=8 and $θ = 32^{\circ}$

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

Step 2. Concept Used.

Here, we shall use the formula

$A = \frac{1}{2} a b s i n θ$

Where a.b are the sides of triangle and $θ$ is angle between them.

Step 3. Find the area of triangle.

So, the area of triangle

$\begin{matrix} A = \frac{1}{2} (8) (8) s i n 32^{\circ} \\ = 4 \times 8 \times 0.53 \\ \approx 16.96 \end{matrix}$

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

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Use a calculator or the trigonometry table on page311to find the area of each figure to the nearest tenth.
An isosceles triangle with a $32^{\circ}$ ,vertex angle and a base of 8cm

Short Answer

Step by step solution

Step 1. Analyze the given information.

Step 2. Concept Used.

Step 3. Find the area of triangle.

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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

Step by step solution

Step 1. Analyze the given information.

Step 2. Concept Used.

Step 3. Find the area of triangle.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Probability and Statistics

Geometry

Mechanics Maths

Discrete Mathematics

Calculus

Study anywhere. Anytime. Across all devices.

Use a calculator or the trigonometry table on page311to find the area of each figure to the nearest tenth.
An isosceles triangle with a $32^{\circ}$ ,vertex angle and a base of 8cm