The largest and the second largest angles of | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) Let the largest angle be $4x$ and the second largest angle be $3x$.Given that the smallest angle is half the largest angle,so the smallest angle $

Vedclass · Accepted Answer

$40$

Vedclass · Answer

(C) Let the largest angle be $4x$ and the second largest angle be $3x$.Given that the smallest angle is half the largest angle,so the smallest angle $= \frac{1}{2} 	imes 4x = 2x$.The sum of the angles in a triangle is $180^{\circ}$.Therefore,$4x + 3x + 2x = 180^{\circ}$.$9x = 180^{\circ}$.$x = 20^{\circ}$.The largest angle $= 4x = 4 	imes 20^{\circ} = 80^{\circ}$.The smallest angle $= 2x = 2 	imes 20^{\circ} = 40^{\circ}$.The difference between the largest and the smallest angle $= 80^{\circ} - 40^{\circ} = 40^{\circ}$.

The largest and the second largest angles of a triangle are in the ratio of $4:3$. The smallest angle is half the largest angle. What is the difference between the smallest and the largest angles of the triangle? (in $^o$)

Similar Questions

If the side of a square is increased by $50 \%$,the percent increase in its area is: (in $\%$)

Two sides of a triangular field are $85 \, m$ and $154 \, m$,respectively,and its perimeter is $324 \, m$. The cost of ploughing the field at the rate of ₹ $10$ per $m^2$ is (in ₹):

If the sides of a triangle are doubled,its area

The surface area of a spherical part of a bowl with a flat circular detachable cover,excluding the cover,is $616 \, cm^2$. The area of the cover is $38.5 \, cm^2$. What is the volume of the bowl? (in $cm^3$)

The area of a rectangle is $460 \, m^2$. If the length is $15 \%$ more than the breadth,what is the breadth of the rectangular field? (in $metres$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module