Answer :

Here, we are given with altitude of triangle, that is, 5 cm and vertex angle equals to 90°. Let us construct an isosceles triangle using the following steps of construction.

Steps of construction:


1. Draw a line segment XY using a ruler of any length.



2. Take a point M on line XY and draw a perpendicular line MP such that MP XY; use protractor to measure angle 90°.



3. Now, with M as centre draw a circle or semicircle or an arc of radius 5 cm cutting MP at A using a compass and a ruler.



4. Construct B and C on XY such that, MAB = 45° and MAC = 45° . Measure the angles using a protractor.



Thus, ABC is the required triangle.


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