Question

In the given figure BD and CE are two altitude of triangle ABC such that BD is equal to AC prove that angle A is equals to angle b

Answer 1

You have limited access to toppr answr. Sign to unlock 35 lakh questions

answr

What's your doubt?

search

7th

Maths

Congruence of Triangles

Criteria for Triangle Congruence

In figure, BD and CE are al...

Maths

In figure, BD and CE are altitudes of ΔABC and BD=CE. State the three pairs of matching parts you have used to answer.(Is ΔBCD≅ΔCBE).

1678130

Medium

Answer

By RHS congruence condition if hypotenuse and one side of one right triangle are equal to hypotenuse and one side of other right triangle then both right triangles are congruent.

It is given that BD=CE and BC is the hypotenuse of small triangles CEB and BDC

So, In right triangles BCD and CBE

BC=CB=common side⋯⋯[hypotenuse]

And BD=CE=given⋯⋯[sides of right triangles]

So, by RHS condition

△BCD≅△CBE

From above, we can see that three pairs of matching part are two equal sides which are used for RHS test and other id right angle of both triangles which need not to be written when using RHS.

your figure will be as given in the attachment.