Question

can you answer this...? ​

Answer 1

Given :-

• AD & PS are medians.

• $\rm \: </li><li> \frac{AB}{PQ} = \frac{BC}{QR} = \frac{AC}{PR}$

To Prove :-

• ΔABC ~ Δ PQR

Proof :-

▶In ΔABC and ΔPQR :

▶ $\rm \: </p><p> \frac{AB}{PQ} = \frac{BC}{QR} = \frac{AC}{PR}$ ( Given )

▶ ΔABC ~ ΔPQR ( From SSS similarty test of similar triangles )

Hence Proved !!

Answer 2

★ CORRECT QUESTION :

Given that – ∆ABC ~ ∆PQR ( whereas AD &PS are median) To prove that ➠ ∆ABC ~ ∆PQR

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GIVEN :

• ∆ABC ~ (sign of similarity) ∆PQR (whereas, here AD and PS is angle bisector. )

TO FIND :

• To prove that – AB/PQ = BC/QR = AC/PR = AD/PS = ?

STEP-BY-STEP EXPLAINATION :

➠ Proof → ⦟ A = ⦟P

➠ ⦟A / 2 = ⦟P/2 and ⦟B = ⦟Q

➠ ∆ABD ~ (sign of similarity) ∆PQS [(By AA) similarity criteria]

➠ AB / PQ = BC / QR = AC/PR = AD/PS

Hence, ∆ABC ~ (similar) ∆PQR

Therefore Proved ✓

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⭐ ADDITIONAL INFORMATION ⭐

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★ What is S-S-S ?

S-S-S is a congruence criteria. The S-S-S is defined as Side - Side - Side.

★ What is S-A-S ?

S-A-S is a congruence criteria. The S-A-S is defined as side - angle - side.

★ What is A-S-A ?

A-S-A is a congruence criteria. The A-S-A is defined as Angle - side - Angle.

★ What is AA ?

A-A is congruence criteria. The A-A is defined as Angle - Angle (congruence criteria).

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