Write the measures of its sides in ascending order in each of the following triangles:
$(1)$ In $\Delta ABC$,$\angle B = 70^{\circ}$ and $\angle C = 20^{\circ}$.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) In $\Delta ABC$,the sum of angles is $180^{\circ}$.
Therefore,$\angle A + \angle B + \angle C = 180^{\circ}$.
$\angle A + 70^{\circ} + 20^{\circ} = 180^{\circ}$.
$\angle A + 90^{\circ} = 180^{\circ}$,so $\angle A = 90^{\circ}$.
The angles are $\angle C = 20^{\circ}$,$\angle B = 70^{\circ}$,and $\angle A = 90^{\circ}$.
Since the side opposite to the smaller angle is smaller,the order of sides is $AB < AC < BC$.

Explore More

Similar Questions

$O$ is a point in the interior of a square $ABCD$ such that $\triangle OAB$ is an equilateral triangle. Show that $\triangle OCD$ is an isosceles triangle.

Difficult
View Solution

In $\Delta ABC$,$AB = AC$,$\angle A = 2x^{\circ}$ and $\angle B = x + 10^{\circ}$. Find each of the angles of $\Delta ABC$.

In the two triangles $ABC$ and $DEF$,$AB = DE$ and $AC = EF$. Name two angles from the two triangles that must be equal so that the two triangles are congruent. Give reason for your answer.

$ABCD$ is a quadrilateral such that diagonal $AC$ bisects the angles $A$ and $C.$ Prove that $AB = AD$ and $CB = CD.$

State whether the following statement is true or false:
$(1)$ $\angle ABD$ and $\angle ACE$ are the exterior angles of $\Delta ABC$. If $\angle ABD = 110^{\circ}$ and $\angle ACE = 130^{\circ}$,then $AB > AC$.

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