Answer:
Step-by-step 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°.
The three angles of the right-angled triangle are
a = 35°
b = 90°
c = 55°
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
Alternatively:
We are given that the smallest angle is 35°
a = 7x = 35
x = 35/7
b = 18x
b = 18(5)
c = 11x
c = 11(5)
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