Question

The three inside angles (a,b and c) of a right-angled triangle are in the ratio 7:18:11

the smallest angle is 35 degrees
workout angles a,b and c

Answer 1

Explanation:

solution

sum of angles on a triangle=180

total ratio=7+18+11=36

for angle a: (7/36)x180=35°

for angle c: (11/36)x180=55°

for angle b: (18/36)x180=90°

therefore: the 3 angles are 35°, 90°, 55°.

Answer 2

The three angles of the right-angled triangle are

a = 35°

b = 90°

c = 55°

Explanation:

We are given the ratio of angles of a right-angled triangle

a:b:c = 7:18:11

Recall that the sum of interior angles in a right-angled triangle is always 180°

7x + 18x + 11x = 180

36x = 180

x = 180/36

x = 5

a:b:c = 7x:18x:11x

a:b:c = 7(5):18(5):11(5)

a:b:c = 35:90:55

a = 35°

b = 90°

c = 55°

Alternatively:

We are given that the smallest angle is 35°

a = 7x = 35

x = 35/7

x = 5

b = 18x

b = 18(5)

b = 90°

c = 11x

c = 11(5)

c = 55°