Question 14

# If the angles of a triangle are in the ratio of 1:4:7, then find the ratio of the greatest angle to the smallest angle.

Solution

The sum of angles of triangle is 180
let the angles 1x,4x,7x
1x+4x+7x=180
12x=180
x=$$\frac{180}{12}$$
= 15
first angle=15°
second angle=60°
third angle=105°
the ratio of the greatest angle to the smallest angle

7:1