Question

The base of a triangle is 10 cm and its height is 8 cm. Calculate its area.

Answer 1

Hint: Height of triangle is the perpendicular distance from the base to opposite vertex.Determine the values of base of triangle as 10 cm and height of triangle as 8 cm from the given question and use the formula of area of triangle ${\displaystyle \frac{1}{2}}\times \text{base}\times \text{height}$. Substitute the values of base and height to calculate the area.

Complete step-by-step answer:
A triangle is a polygon with three sides.
We can calculate the area of the triangle when we are given the base of triangle and height of triangle.
Height of the triangle is the perpendicular distance from the base to the opposite vertex.
We are given a base of a triangle as 10 cm and length of height of triangle as 8 cm.
The area of triangle is calculated using the formula, ${\displaystyle \frac{1}{2}}\times \text{base}\times \text{height}$
On substituting the values of base of triangle as 10 cm and height of triangle as 8 cm, we get,
$A={\displaystyle \frac{1}{2}}\times \text{10}\times 8$
On solving the equation, we get,
$$\begin{gathered} A={\displaystyle \frac{1}{2}}\times 80=40 \\ A=40\text{ c}{\text{m}}^2 \end{gathered}$$
Thus, the area of the triangle with base of a triangle is 10 cm and its height is 8 cm is 40${cm}^2$.

Note: The area of the triangle is calculated using the formula, ${\displaystyle \frac{1}{2}}\times \text{base}\times \text{height}$.
Also, the unit of area for this question is $\text{c}{\text{m}}^2$ as area is always measured in square units.