Question

THE THREE INSIDE ANGLES (A,B,C) OF A RIGHT ANGLED TRIANGLE ARE THE RATIO 7:18:11 THE SMALLEST ANGLE IS 35 DEGREES WORK OUT A,B.C

Answer 1

∠ A = 35° , ∠ B = 90° , ∠ C = 55°

Explanation:

the sum of the 3 angles in a triangle is 180°

given that the angles are in the ratio 7 : 18 : 11

the smallest angle, 35° has the smallest part of the ratio, that is 7

35° ÷ 7 = 5° ← value of one part of the ratio , then

18 parts = 18 × 5° = 90°

11 parts = 11 × 5° = 55°

Then

∠ A = 35° , ∠ B = 90° , ∠ C = 55°

Answer 2

35/7 = 5, so 5 × 11 = 55, and 5 × 18 = 90.

Angle A measures 35°.

Angle B measures 90°.

Angle C measures 55°.