in a triangle the ratio of angle is 3:7:5 find the measure of all angles
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in a triangle the ratio of angle is 3:7:5 find the measure of all angles
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Answer:
Step-by-step explanation:
the sum of all three angles in a triangle is 180 degrees
so lets take the angles as 3x,7x and 5x
so, 3x+5x+7x= 180 degrees
or, 15x = 180 degrees
or x = 180/15 = 12 degrees
so the values of angles are 36,60 and 84 degrees.
Verified answer
Required Answer :
Given :
To find :
Solution :
Let the three angles of triangle be 3x, 7x and 5x.
where,
Using formula,
where,
Triangle has 3 angles, 3 sides.
→ n = 3
Substituting the given values :
→ 3x + 7x + 5x = [2(3) - 4] × 90°
→ 15x = (6 - 4) × 90°
→ 15x = 2 × 90°
→ 15x = 180°
→ x = 180°/15
→ x = 12°
Substituting the value of ' x ' in the angles of triangle :
→ First angle = 3x
→ First angle = 3(12°)
→ First angle = 36°
→ Second angle = 7x
→ Second angle = 7(12°)
→ Second angle = 84°
→ Third angle = 5x
→ Third angle = 5(12°)
→ Third angle = 60°