MCQ
In $\triangle\text{PQR},\ \angle\text{P}=60^\circ,\ \angle\text{Q}=50^\circ.$ Which side of the triangle is the longest?
- A$PR$
- B$QR$
- CNone
- ✓$PQ$
✓
Answer
Correct option: D.
$PQ$
In $\triangle\text{PQR},\ \angle\text{P}=60^\circ,\ \angle\text{Q}=50^\circ.$
Now, by angle sum property, $\angle\text{P} +\angle\text{Q} +\angle\text{R} = 180^\circ$
$60^\circ + 50^\circ + \angle\text{R} = 180^\circ$
or, $ \angle\text{R} = 180^\circ - 110^\circ = 70^\circ$
So, $\angle\text{R}$ is the largest angle and the side opposite to it, i.e, $PQ$ will be the longest side.
Now, by angle sum property, $\angle\text{P} +\angle\text{Q} +\angle\text{R} = 180^\circ$
$60^\circ + 50^\circ + \angle\text{R} = 180^\circ$
or, $ \angle\text{R} = 180^\circ - 110^\circ = 70^\circ$
So, $\angle\text{R}$ is the largest angle and the side opposite to it, i.e, $PQ$ will be the longest side.
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
$\frac{1}{\sqrt{9}-\sqrt{8}}$ is equal to:
→Three cubes of metal with edges $3\ cm, 4\ cm$ and $5\ cm$ respectively are melted to form a single cube. The lateral surface area of the new cube formed is.
→$D$ and $E$ are the mid-points of the sides $AB$ and $AC$. Of $\triangle\text{ABC}.$ If $BC = 5.6\ cm$, find $DE = ?$ 
→Write the correct answer in the following: The mean of five numbers is $30$. If one number is excluded, their mean becomes $28$. The excluded number is:
→The sides of a triangle are $11\ cm, 15\ cm$ and $16\ cm.$ The altitude to the largest side is:
→The area of the curved surface of a cone of radius $2r$ and slant height $\frac{\text{l}}{2},$ is:
→If the radius of the base of a right circular cone is $3 r$ and its height is equal to the radius of the base, then its volume is
→Write the correct answer in the following: The class mark of the class $90-120$ is:
→Write the correct answer in the following: If $AB = 12\ cm, BC = 16\ cm$ and $AB$ is perpendicular to $BC$, then the radius of the circle passing through the points $A, B$ and $C$ is:
→The area of a right angled triangle is $20\ m^2$ and one of the sides containing the right triangle is $4\ cm$. Then the altitude on the hypotenuse is:
→