Q. 9 Find the area of each figure:... [FREE SOLUTION]

91影视

Geometry

Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 227 pages

ISBN: 9780395977279

Chapter 11: Q. 9 (page 431)

Find the area of each figure:

Short Answer

Expert verified

The area of given figure is 84 square unit.

Step by step solution

Step 1. Given information.

Step 2. Use Phythagoras theorem.

Using Pythagoras theorem finding the missing leg of the triangles first and second.

In first triangle:

$H^{2} = P^{2} + B^{2}$

$13^{2} = 5^{2} + B^{2}$

$B^{2} = 169 鈭� 25$

$B^{2} = 144$

$B = 12$

In the second triangle

$H^{2} = P^{2} + B^{2}$

$15^{2} = P^{2} + 12^{2}$

$P^{2} = 225 鈭� 144$

$P^{2} = 81$

$P = 9$

Step 3. Concept used.

Area of triangle can be found using the formula

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

Where,

b= Base of a triangle and h= Height of a triangle

Step 4. Find the area of first triangle.

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

$= \frac{1}{2} 脳 12 脳 5$

$= 6 脳 5$

=30 Square unit

Step 5. Find the area of second triangle.

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

$= \frac{1}{2} 脳 9 脳 12$

$= 9 脳 6$

=54 Square unit

Step 6. Find the total area.

Total area of given figure

$A = A_{1} + A_{2}$

$= 30 + 54$

=84 Square unit

Therefore, the area of given figure is84 Square unit.

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91影视

Find the area of each figure:

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Use Phythagoras theorem.

Step 3. Concept used.

Step 4. Find the area of first triangle.

Step 5. Find the area of second triangle.

Step 6. Find the total area.

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