Math, asked by niranjan1375, 10 months ago

Two isosceles triangles have equal vertical angles. Show that the triangles are similar. If the ratio between the areas of these two triangles is 16:25, find the ratio between their corresponding altitudes

Answers

Answered by prakashgupta1516
2

Step-by-step explanation:

Let ABC,PQR be two isosceles triangle with equal vertical angles.

Let in ΔABC,AB=AC

⇒∠B=∠C=

2

180−∠A

And in ΔPQR,PQ=PR

⇒∠Q=∠R=

2

180−∠P

Given two vertical angles are equal.

∴∠A=∠P

⇒∠B=∠C=∠Q=∠R

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