Q2. - Geometry

Question

Find the area of each figure:

A triangle with sides $3,4$ and5 .

Step-by-Step Solution

Answer

The area of given figure is 6 square units.

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 

$A=\frac{1}{2}bh$

Where, 

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

Step 4. Find the area of given figure.

$A=\frac{1}{2}bh$

    $=\frac{1}{2}\times 3\times 4$ 

    $=6$   Square units.

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