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Question

Raman was given the lengths of two sides and the measure of an angle which is not included between the two sides. But still he was able to draw the triangle. So, what should be the angle that was given? (in degrees)

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Solution

The correct option is **C** 90∘

If he was able to draw a triangle with two sides and an angle which is not included, then the triangle should be a right angled triangle. As by mentioning one of the angles as right angle, we can assume the other two sides as base and hypotenuse depending upon where they lie. The side opposite to the right angle can be assumed as hypotenuse while the one including the right angle can be assumed as base or perpendicular. Following this the triangle can be drawn from the steps of construction of triangle from RHS criterion like is shown in the traingle DEF below.

If he was able to draw a triangle with two sides and an angle which is not included, then the triangle should be a right angled triangle. As by mentioning one of the angles as right angle, we can assume the other two sides as base and hypotenuse depending upon where they lie. The side opposite to the right angle can be assumed as hypotenuse while the one including the right angle can be assumed as base or perpendicular. Following this the triangle can be drawn from the steps of construction of triangle from RHS criterion like is shown in the traingle DEF below.

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