7.If the altitudes from two vertices of a triangle to the opposite sides are equal prove that the triangle is isosceles.
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If the altitudes from two vertices of a triangle to the opposite sides are equal, prove that the triangle is isosceles.
Step-by-step explanation:
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Step-by-step explanation:
in Δ PBC and ΔBQC
PC=BQ (GIVEN)
BC=BC (COMMON )
∠ CPB=∠ BQC (each 90°)
⇒tri PBC ≅ tri BQC
⇒∠B=∠C
⇒AB=AC ( side opp. to equal angles are equal)
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