becomes 1. Find the fractThe largest angle of a triangle is equal to t

1.	becomes 1. Find the fractThe largest angle of a triangle is equal to the sum of the other two angles. The smallest angle is -of the largestangle. Find the angles of the triangle.
Answer» Sum of all angles of triangle is 180° Let largest angle be A and other two angles are B and C Let C is smallest angle According to the given conditionA = B + C...... (1) C= 1/4 A....... (2) From eq(1) and eq(2)A = B + 1/4 AB = A - 1/4A = 3/4 A We know, A + B + C = 180A + 3/4 A + 1/4 A = 1802A = 180A = 90 B = 3/4 A = 3*90/4 = 270/4= 67.5 C = 1/4 A = 90/4 = 22.5 Therefore, angles are 90, 67.5 and 22.5

becomes 1. Find the fractThe largest angle of a triangle is equal to the sum of the other two angles. The smallest angle is -of the largestangle. Find the angles of the triangle.

Answer»

Sum of all angles of triangle is 180°

Let largest angle be A and other two angles are B and C

Let C is smallest angle

According to the given conditionA = B + C...... (1)

C= 1/4 A....... (2)

From eq(1) and eq(2)A = B + 1/4 AB = A - 1/4A = 3/4 A

We know, A + B + C = 180A + 3/4 A + 1/4 A = 1802A = 180A = 90

B = 3/4 A = 3*90/4 = 270/4= 67.5

C = 1/4 A = 90/4 = 22.5

Therefore, angles are 90, 67.5 and 22.5