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Question

Construct a right angled triangle whose hypotenuse measure 5 cm and the length of one of whose sides containing the right angle measures 4.5 cm.

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Solution

Step of Construction:

Construct a line segment BC=5 cm

Make the centre of the line BC as O

Considering O as centre and radius as OB, construct a semicircle on the line segment BC

Considering B as centre and radius 4.5 cm, construct an arc cutting the semicircle at the point A

Join the line AB and AC

Therefore, ABC is the required triangle,

1565134_1715800_ans_58bf618d7f4442fcaa009650e5411cdb.png

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