$(1)$ In $\Delta ABC$,$AD$ is an altitude. If $BC = 8 \text{ cm}$ and $AD = 5 \text{ cm}$,then $\text{ar}(\Delta ABC) = \dots \text{ cm}^2$.
$(2)$ $A$ $\dots$ of a triangle divides the triangle into two triangles of equal area.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(A) $(1)$ The area of a triangle is given by the formula $\text{ar}(\Delta ABC) = \frac{1}{2} \times \text{base} \times \text{height}$.
Given $\text{base} (BC) = 8 \text{ cm}$ and $\text{height} (AD) = 5 \text{ cm}$.
$\text{ar}(\Delta ABC) = \frac{1}{2} \times 8 \times 5 = 20 \text{ cm}^2$.
$(2)$ $A$ median of a triangle divides the triangle into two triangles of equal area.

Explore More

Similar Questions

In which of the following figures,do you find two polygons on the same base and between the same parallels?

In the figure,$BD \parallel CA$,$E$ is the mid-point of $CA$,and $BD = \frac{1}{2} CA$. Prove that $\operatorname{ar}(ABC) = 2 \operatorname{ar}(DBC)$.

$XYZW$ is a square. If $XY = 17 \text{ cm}$,then find the area of $XYZW$ in $\text{cm}^2$.

In $\Delta PQR$,$\angle Q = 90^{\circ}$,$QR = 21 \text{ cm}$ and $PR = 29 \text{ cm}$,then find the area of $\Delta PQR$ in $\text{cm}^2$.

In $\Delta PQR$,$PM$ is a median. If $\text{ar}(\Delta PMQ) = 36 \text{ cm}^2$,then find $\text{ar}(\Delta PMR)$ in $\text{cm}^2$.

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo