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Question

Construct a triangle ABC in which BC=7 cm, A=60 and altitude through A is 3.7 cm. How many such triangles are possible? Write the steps of construction.

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Solution

Steps of Construction :
1 Draw a line segment BC=7 cm
2 Construct CBX=60
3 Draw OBBX intersecting the perpendicular bisector of BC at O.
4 With O as centre and radius OB or OC draw a circle.
5 Cut DN=3.7 cm
6 Through N draw on DN intersecting the circle at the point A and A.
7 Join AB,AC and AB,AC
8 ΔABC and ΔABC are the required triangles
Hence, the number of possible triangles =2.

477099_345817_ans_d7c1010911bf4a38b5fe14a96dcac7fc.png

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