Question

the angle of a triangle are in the ratio 2 ratio 3 ratio 5 ratio find the largest angle of the triangle.also find the difference between largest angle and the smallest angle​

Answer 1

Answer:

larget angle is of 90 degree and difference between smallest and largest angle is 54 degree.

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Answer 2

Answer:

→ so the angles are 36 : 54 : 90

→ The difference between largest angle and smallest angle

90 - 36 = 54

Step-by-step explanation:

Given:-

The angles of a triangle are in the ratio 2 : 3 : 5

Let the actual ratio be 2k : 3k : 5k

Sum of angles of a triangle is 180°

⇒ 2k + 3k + 5k = 180

⇒ 10k = 180

⇒ k = 18

The angles are in the ratio  2k : 3k : 5k

so the angles are 36 : 54 : 90

The difference between largest angle and smallest angle

90 - 36 = 54