Question

the three angles in a triangle are in the ratio of 3:4:5. find them

Answer 1

Answer:

the three angles in a triangle are in the ratio of 3:4:5

(3x, 4x, and 5x)

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Step-by-step explanation:

The sum of the interior angles of a triangle will be 180 ° . Therefore, think of the ratios of 3:4:5 as variables followed by "x" (3x, 4x, and 5x).

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Answer 2

RATIO OF ANGLES OF A TRIANGLE = 3:4:5

LET THE COMMON MULTIPLE BE x

1st angle = 3×x = 3x

2nd angle = 4×x = 4x

3rd angle = 5×x = 5x

ATP

1st angle + 2nd angle + 3rd angle = 180⁰ [Sum of all angles of a triangle is 180⁰]

= 3x + 4x + 5x = 180⁰

= 12x = 180⁰

=> x = 180/12

=> x = 15

Therefore,

1st angle = 3x = 3×15 = 45⁰

2nd angle = 4x = 4×15 = 60⁰

3rd angle = 5x = 5×15 = 75⁰

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