Construct a triangle BCP given BC=5cm,BP=4cm and $∠$ PBC=45 $^{\circ}$ . Complete the rectangle ABCD such that:

(1) P is equidistant from AB and BC

(2) P is equidistant from C and D.

Measure and record the length of AB.

4.8 cm

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5 cm

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6 cm

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7 cm

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Solution

The correct option is C
6 cm

The figure to be constructed is as shown below:

The length of AB is 6 cm.

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Construct a triangle BCP given BC= 5 cm, BP= 4 cm and $∠ P B C = 45^{o}$ .

(i) Complete the rectangle ABCD such that:

(a) P is equidistant from AB and BC.

(b) P is equidistant from C and D.

(ii) Measure and record the length of AB.

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