Chapter 11: Q2. (page 431)

Find the area of each figure:
A triangle with sides $3, 4$ and5.

Short Answer

Expert verified

The area of given figure is 6 square units.

Step by step solution

Step 1. Given information.

The sides of a triangle are $3, 4$ and 5 .

Step 2. Analyse the given information.

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

Since the triangle is a right angle triangle as it satisfy the Pythagoras theorem because

$5^{2} = 3^{2} + 4^{2}$

$25 = 9 + 16$

$25 = 25$

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 given figure.

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

$= \frac{1}{2} \times 3 \times 4$

$= 6$ Square units.

Therefore, the area of given figure is 6 square units.

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Find the area of each figure:
A triangle with sides $3, 4$ and5.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Analyse the given information.

Step 3. Concept used.

Step 4. Find the area of given figure.

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Find the area of each figure:A triangle with sides3,4 and5.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Analyse the given information.

Step 3. Concept used.

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

Applied Mathematics

Theoretical and Mathematical Physics

Statistics

Geometry

Calculus

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Find the area of each figure:
A triangle with sides $3, 4$ and5.