Question

5. In A ABC, AB = AC and AD is an altitude to
the base BC. Prove that D is the midpoint
of BC.​

Answer 1

Step-by-step explanation:

bro it is a isosceles triangle because two sides are equal .

and it's a property of isosceles triangle that altitude bisect the base

Hope it helps you

Mark as Brainliest Plz plz plz!!!!

Answer 2

Point D is the mid-point of BC.

GIVEN

In ΔABC, AB = AC and AD is an altitude to

the base BC.

TO FIND

To prove that D is the midpoint of BC.

SOLUTION

We can simply solve the above problem as follows;

In ΔABC

AB = AC

AD is the altitude to the base BC.

Now,

ΔABD and ΔADC

AB = AC (GIVEN)

AD = AD (Common side)

∠ABD = ∠ACD (Equal angles of equal sides.

By Side-Angle-Side Congruency,

ΔABD ~ ΔADC

By CPCT

BD = DC

Hence,

Point D is the mid-point of BC.

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