Question

5. The measures of interior angles of a triangle are in the ratio 3: 4: 5. Find the
measure of its largest angle.​

Answer 1

Answer:

3+4+5=12x= 180,X = 15

than , large angle = 5x = 5× 15= 75° will be the answer

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Answer 2

ANSWER:

The largest angle is equal to 75°.

GIVEN:

The angles of the triangle are in ratio 3 : 4 : 5

TO FIND:

The largest angle.

EXPLANATION:

Sum of interior angles of a triangle is 180°

Take the angles as 3x, 4x, 5x

3x + 4x + 5x = 180°

12x = 180°

Divide by 6 on both sides

2x = 30°

x = 15°

Substiute x = 15° in 5x

5x = 5(15°)

5x = 75°

Hence the largest angle is 75°.

VERIFICATION:

3x = 3(15°) = 45°

4x = 4(15°) = 60°

5x = 75°

Add the three angles

45° + 60° + 75° = 180°

Hence it is a triangle and the largest angle is 75°.