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Construction of Isosceles Triangle Whose Base and Corresponding Altitude Are Given

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Question

Construction of a triangle when two sides and altitude from the other side is given below.

length of CM is equal to:

A

4cm

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B

6cm

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C

7cm

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D

5.5cm

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Solution

The correct option is B 6cm
$Δ C A M$ is a right triangle. $A M ⊥ X Y .$
Therefore CM =6cm [(6,8,10) is Pythagorian triplet]

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