Question

the angles of a triangle are in the ratio 4:5:9. the triangle is
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Answer 1

Answer:

the triangle would obviously be a scalene triangle as its measures of all sides are different

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Answer 2

Question:

The angles of a triangle are in the ratio 4:5:9. the triangle is a ______.

Solution:

We know that,

Sum of all angles in a Triangle = 180

4x + 5x +9x = 180

18x = 180

x = 180/18

x = 10

Substitute:-

Angle A = 4x = 4(10) = 40°

Angle B = 5x = 5(10) = 50°

Angle C = 9x = 9(10) = 90°

Since one of the angles is a right angle, then Triangle ABC is a right-angled Triangle.