Question

If the angles of a triangle are in the ratio 1:2:7, then find all the angles of triangle, then write its type also.

Answer 1

angles are 18 ,36 and 126 the triangle is acute angle triangle

Answer 2

HERE IS THE ANSWER:

ANGLES OF TRIANGLE ARE IN RATIO  = 1:2:7

LET , THE ANGLES BE  1 x , 2 x , 7 x

BY ANGLE SUM PROPERTY OF TRIANGLE :

1 x + 2 x + 7 x =180 degree

10 x = 180 degree

x =180/10

x = 18 degree

so , 1 x = 1 * 18 degree=18 degree

       2 x = 2 * 18 degree = 36 degree

         7 x = 7 *18 degree = 126 degree

SINCE ALL ANGLES OF TRIANGLE ARE UNEQUAL

SO THE TRIANGLE IS SCALENE