Chapter 11: Q6. (page 431)

Find the area of each figure:
An isosceles triangle with sides $10, 10, 16$

Short Answer

Expert verified

The area of given figure is48 square units.

Step by step solution

Step 1. Given information.

The sides of triangle are $10, 10, 16$ .

Step 2. Concept used.

Area of triangle can be found using the formula

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

Where,

b= Base of a triangle andh= Height of a triangle

Step 3. Find the Height of triangle.

We can use Pythagorean Theorem.

Pythagorean Theorem define that in a right angle triangle, the square of the hypotenuse is equal to the sum of squares of other sides.

Thus, the height of a triangle can be found as

$10^{2} = P^{2} + 8^{2}$

$P^{2} = 100 - 64$

$P^{2} = 36$

$P = 6$

Step 4. Find the area of given figure.

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

$= \frac{1}{2} \times 16 \times 6$

$= 8 \times 6$

$= 48$ Square units.

Therefore, the area of given figure is48 square units.

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Find the area of each figure:
An isosceles triangle with sides $10, 10, 16$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Concept used.

Step 3. Find the Height of triangle.

Step 4. Find the area of given figure.

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Find the area of each figure:An isosceles triangle with sides10,10,16

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Concept used.

Step 3. Find the Height of triangle.

Step 4. Find the area of given figure.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Logic and Functions

Statistics

Theoretical and Mathematical Physics

Discrete Mathematics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Find the area of each figure:
An isosceles triangle with sides $10, 10, 16$