Question

In right triangle ABC, right at C, M is the mid point of hypotenuse AB. C is joined to M and produced to a point D such that DM=CM.point D is joined to point B (see fig. 7.23)

Answer 1

angle ACB = 90

Mis the mid-point of AB

So, AB =BM

Also DM = CM

To prove that triangle AMC = BMD

Proof

Line CD and AB intereste

So , angle AMC = angle BMC