If all the angles of the triangle are in ratio of 2:3:5. then find out measurement of all the
angles. Identify the type of triangle.
( answer in detail )
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Answer:
it's a right angled triangle
Step-by-step explanation:
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Given
⇒The angle of triangle are 2:3:5
To Find
⇒Measurement of all angle and identify the type of Triangle
Now Let
⇒∠A = 2x
⇒∠B = 3x
⇒∠C = 5x
We know That
⇒The sum all interior angle in triangle is 180°
We can write as
⇒∠A+∠B+∠C = 180°
Now Put the value
⇒2x+3x+5x=180°
⇒5x + 5x =180°
⇒10x = 180°
⇒x = 18°
Now ,
⇒∠A = 2×18° = 36°
⇒∠B = 3×18° = 54°
⇒∠C = 5×18° = 90°
Answer
⇒∠A =36°,∠B =54° and ∠C=90°
⇒This is right angle triangle
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