Math, asked by shalini3687, 7 months ago

A triangle ABC is an isosceles triangle if any one of the following conditions hold : (a) altitudes ad bisects ABC.​

Answers

Answered by teeshajindal11193
9

Answer:

Hey here is your answer

yes, it is possible....

Given :-

(1) In ∆ ABC altitude AD bisects BC.

(2) AD is perpendicular to BC.

To prove :-

∆ ABC is an isosceles ∆.

Proof :-

In ∆ ABD and ∆ ACD :-

AD = AD (common)

BD = CD (AD bisects BC)

<ADB = <ADC (each are of 90° because AD is perpendicular to BC)

so,

∆ ABD ≈ ∆ ACD (SAS)

AB = AC (by CPCT)

now,

In ∆ ABC

AB = AC

so, ∆ ABC is an isosceles ∆.

hope this helps you

### BE BRAINLY ###

Answered by Anonymous
2

Answer:

heya mate.....(◍•ᴗ•◍)❤ m

Step-by-step explanation:

hope it helps uh....!!!

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