Question

In right triangle ABC, altitude CD isdrawn to its hypotenuse. Select alltriangles which must be similar to triangleABC.

Answer 1

In the given triangle ABC, right angle is at C = 90

and angle B = Angle B

In the given figure, triangle BCD with 90 degree at D

then in triangle ABC and BCD

AB = BC

angle B = Angle C =90 degree

BC = CD

by SAS similarity triangle ABC is similar to triangle BCD

ABC ~ CAD

For triangle ACD and ABC

AC = AC

Angle ACD = ANgle ACB

By SAS proerties triangle ACD and ABC are similar

In the triangle ACD and ABC

AC = CA

CD = BC

DA = CA

By SAS property triangles are sleepy .

In the given statements, triangle ACD and DCB.

ABC ~ CAD

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