(ii)to nan the area of an equateral mangie descibed on one ol its dlag

1.	(ii)to nan the area of an equateral mangie descibed on one ol its dlagonaIf the areas of two similar triangles are equal, then prove that the triangles are congruent.
Answer» Given: ΔABC ~ ΔPQR. & ar ΔABC =ar ΔPQR To Prove: ΔABC ≅ ΔPQR Proof: Since, ΔABC ~ ΔPQRar ΔABC =ar ΔPQR. (given) ΔABC / ar ΔPQR = 1 ⇒ AB²/PQ² = BC²/QR² = CA²/PR² = 1 [ USING THEOREM OF AREA OF SIMILAR TRIANGLES] ⇒ AB= PQ , BC= QR & CA= PR Thus, ΔABC ≅ ΔPQR[BY SSS criterion of congruence] hit like if you find it useful

(ii)to nan the area of an equateral mangie descibed on one ol its dlagonaIf the areas of two similar triangles are equal, then prove that the triangles are congruent.

Answer»

Given: ΔABC ~ ΔPQR. &

ar ΔABC =ar ΔPQR

To Prove: ΔABC ≅ ΔPQR

Proof: Since, ΔABC ~ ΔPQRar ΔABC =ar ΔPQR. (given)

ΔABC / ar ΔPQR = 1

⇒ AB²/PQ² = BC²/QR² = CA²/PR² = 1

[ USING THEOREM OF AREA OF SIMILAR TRIANGLES]

⇒ AB= PQ , BC= QR & CA= PR

Thus, ΔABC ≅ ΔPQR[BY SSS criterion of congruence]

hit like if you find it useful