Question

Find the area of the given triangle.

Answer 1

Hint: As we know a triangle is a polygon with three edges and three vertices. Here we are given the right triangle, by using the formula of the area of the triangle and putting the given values of base and height we can find the area of the given triangle.

Complete answer:
Given: the base of the triangle is 3cm and the height of the triangle is 4cm.
So, put the value of base and height in the area of the triangle.
Area of triangle = $\dfrac{1}{2}$× base × height
⇒ Area of triangle = $\dfrac{1}{2}$× 3 × 4 = 6 sq. cm
So, the area of triangle is 6 sq. cm

Note: To solve these types of questions we must know about the formula and do calculation carefully. The base of a triangle is any one of the sides and the height of the triangle is the length of the altitude from the vertex to that base. But the formula we used in solution is only a triangle in which height and base is known i.e. only for right angled triangles. If height is not known then can take one side as base and find the height corresponding to particular base, height could be outside triangle or inside triangle. Height of a triangle means the length of line between base and its opposite vertex.
Alternatively, we can find the hypotenuse of the given triangle using Pythagoras theorem. Now, we have three sides of the triangle; use Heron’s formula to find the area of the triangle. Heron’s formula can be used for any triangle in which all sides are known.