Chapter 11: Q15. (page 431)

Find the area of each figure:
A $30^{\circ} - 60^{\circ} - 90^{\circ}$ triangle with hypotenuse10cm

Short Answer

Expert verified

The area of given figure is $\frac{25 \sqrt{3}}{2}$ square units.

Step by step solution

Step 1. Given information.

Angles of a triangle are $30^{\circ} - 60^{\circ} - 90^{\circ}$ with hypotenuse 10

Step 2. Analyze the figure.

Here,

$A C = 2 B C$

$\Rightarrow 10 = 2 B C$

$\Rightarrow B C = 5$

" width="9" height="19" role="math">⇒b=BC=5

$A B = \sqrt{3} B C$

$\Rightarrow A B = \sqrt{3} \times 5$

$\Rightarrow h = A B = 5 \sqrt{3}$

Step 3. Find the area of given figure.

The area of a triangle can be found using the formula

$A = \frac{1}{2} b h$

$= \frac{1}{2} \times 5 \times 5 \sqrt{3}$

$= \frac{25 \sqrt{3}}{2}$ Square units.

Therefore, the area of given figure is $\frac{25 \sqrt{3}}{2}$ square units.

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Find the area of each figure:
A $30^{\circ} - 60^{\circ} - 90^{\circ}$ triangle with hypotenuse10cm

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Analyze the figure.

Step 3. Find the area of given figure.

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Find the area of each figure:A30∘−60∘−90∘ triangle with hypotenuse10cm

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Analyze the figure.

Step 3. Find the area of given figure.

One App. One Place for Learning.

Most popular questions from this chapter

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Find the area of each figure:
A $30^{\circ} - 60^{\circ} - 90^{\circ}$ triangle with hypotenuse10cm