In triangle ABC, angle A : angle B : angle C = 4 : 5 : 6. Two students argue whether the triangle is right-angled. What is the largest angle, and is the triangle right-angled?

Question

Accepted Answer

72°, not right-angled. Parts: 4+5+6 = 15. Each part = 180/15 = 12°. Largest = 6 x 12 = 72°, which is not 90°, so not right-angled.

In triangle ABC, angle A : angle B : angle C = 4 : 5 : 6. Two students argue whether the triangle is right-angled.
What is the largest angle, and is the triangle right-angled?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Angle Sum of a Triangle practice

In triangle ABC, angle A : angle B : angle C = 4 : 5 : 6. Two students argue whether the triangle is right-angled.What is the largest angle, and is the triangle right-angled?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Angle Sum of a Triangle practice

In triangle ABC, angle A : angle B : angle C = 4 : 5 : 6. Two students argue whether the triangle is right-angled.
What is the largest angle, and is the triangle right-angled?