Question
In a $\triangle\text{ABC},$ if $\angle\text{B} = \angle\text{C} = 45^\circ,$ which is the longest side?
✓
Answer
- BC
Solution:
We know that sum of all angles of a triangle is 180°
$\angle\text{A} + \angle\text{B} + \angle\text{C} = 180^\circ$
$\angle\text{B} = \angle\text{C} = 45^\circ$
$\angle\text{A} + 45^\circ + 45^\circ = 180^\circ$
$\angle\text{A} + 90^\circ = 180^\circ$
$\angle\text{A} = 180^\circ - 90^\circ$
$\angle\text{A} = 90^\circ$
So, angle A is the largest and the side opposite to the greatest angle is the longest so, side BC is the longest.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
A coin is tosses 1000 times, if the probability of getting a tail is $\frac{3}{8},$ how many times head is obtained?
→- 525
- 375
- 625
- 725
If two angles are supplementary and the larger is $20^\circ$ less then three times the smaller, then the angles are:
→If $\sqrt{7}=2.646$ then $\frac{1}{\sqrt{7}}=?$
→How many persons can be accommodated in a dining hall of dimensions $(20m \times 15m \times 4.5m),$ assuming that each person requires $5m^3$ of air?
→→
In a $\triangle\text{ABC},$ if $3\angle\text{A}=4\angle\text{B}=6\angle\text{C}$ then A : B : C =?
→- 3 : 4 : 6
- 4 : 3 : 2
- 2 : 3 : 4
- 6 : 4 : 3
One angle is equal to three times its supplement. The measure of the angle is:
Simplified value of $(25)^{\frac{1}{3}}\times5^{\frac{1}{3}}$ is:
→- 25
- 3
- 1
- 5
If the total surface area of a hemisphere is $1848\ cm^2,$ then the diameter is:
→If $4\text{x}-4\text{x}^{-1}=24,$ then$ (2x)^x$ equals:
→