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Find the area of each figure:

A triangle with sides3,4 and5.

Short Answer

Expert verified

The area of given figure is 6 square units.

Step by step solution

01

Step 1. Given information.

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

02

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

52=32+42

25=9+16

25=25

03

Step 3. Concept used.

Area of triangle can be found using the formula

A=12bh

Where,

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

04

Step 4. Find the area of given figure.

A=12bh

=12×3×4

=6 Square units.

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

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