Question

the three interior angles of a triangle are in the ratio 1:3:5. find the measure of each angle and also find the which type of triangle it is​

Answer 1

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• the three interior angles of a triangle are in the ratio 1:3:5. find the measure of each angle and also find the which type of triangle it is

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$\small\boxed{\fcolorbox{black}{blue}{Sum\:Of\:all\:angles\:of\:a\:triangle=180°}}$

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Let us assume the angles of triangle is 1x,3x,5x

We know that sum of all angles of triangle is 180°

So we get the equation as :-

$1x + 3x + 5x = 180 \\ \\ 9x = 180 \\ \\ x = \frac{180}{9} \\ \\ x = 20$

$1x = 1(20) = 20 \\ \\ 3x = 3(20) = 60 \\ \\ 5x = 5(20) = 100$

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HENCE THE MEASURE OF EACH ANGLE IS :-

= 20°,60°,100°

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THE TYPE OF TRIANGLE IS SCALENE TRIANGLE.

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$\huge\sf\underline\green{Extra\:Info:-}$

• A scalene triangle is a triangle in which all three sides have different lengths.
• the angles of a scalene triangle have different measures.
• Some right triangles can be a scalene triangle when the other two angles or the legs are not congruent.

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