In the given figure, AP is perpendicular to CB and AB=DC. If P is the mid point of BC, show that triangle ABP is congruent to triangle DCP. List all thr other equal elements in the two triangles.
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Answer:
Let ABC and PQR be two right triangles with AB ⊥ BC and PQ ⊥ QR.
Given:
BC = 9, AB = 5, PQ = 6 and QR = 10.
∴
A(△ABC)
A(△PQR)
=
AB×BC
PQ×QR
=
5×9
6×10
=
3
4
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