Chapter 11: Q14. (page 431)

Find the area of each figure:
A rhombus with a $120^{\circ}$ angle and sides 6cm

Short Answer

Expert verified

The area of given figure is $18 \sqrt{3} c m^{3}$

Step by step solution

Step 1. Given information.

Rhombus with angle $120^{\circ}$ and sides of the rhombus are" width="9" height="19" role="math">

Step 2. Concept used.

Area of rhombus can be found using the formula

$A = {(s i d e)}^{2} \times s i n θ$

Step 3. Find the area of given figure.

$A = {(s i d e)}^{2} \times s i n θ$

$= {(6)}^{2} \times s i n 120^{\circ}$

$= 36 \times \frac{\sqrt{3}}{2}$

$= 18 \sqrt{3} c m^{3}$

Therefore, the area of given figure is $18 \sqrt{3} c m^{3}$ .

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Find the area of each figure:
A rhombus with a $120^{\circ}$ angle and sides 6cm

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Concept used.

Step 3. Find the area of given figure.

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Find the area of each figure:A rhombus with a120∘angle and sides 6cm

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Concept used.

Step 3. Find the area of given figure.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

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Study anywhere. Anytime. Across all devices.

Find the area of each figure:
A rhombus with a $120^{\circ}$ angle and sides 6cm