In the adjoining diagram, AB=AC , BX=CY and KX//AY then prove that: triangle XKP perpendicular triangle YCP.
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ABC is an isosceles triangle. Since AB = AC, angle B = angle C, so their half angles will be equal.
In triangles ABX and ACY,
Angle ABX (half of angle B) = and ACY (half of angle C)
AB = AC, and
A is common to both,
So the two triangles are congruent. Therefore BX = CY.
Step-by-step explanation:
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