Question

Find the area of each figure:

A triangle with sides$3,4$ and5.

Short answer

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

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

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.