ABCD is a square and triangle ABC is an equilateral triangle prove that ap is equal to dp
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Answer:
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Bro I will just tell you directly the steps to solve it
Answer:
1) As the ∆ PBC lies on the side of square ABCD therefore all the sides of square and the ∆ will be equal.c
2) Now ∆ BPA and ∆ PCD can be proved that they are isoceles
3) We can find the measure of angle PBA and angle PCD by adding one angle of square which will be 90° and one angle of equi. ∆ which will be 60° .
4) We can find the measure of angle BAP and angle CDP because we know that they are angles of isosceles ∆ .
5) Now subtract the value of angle BAP from the right angle of square which is angle BAD , we will get the value of angle PAD of ∆ PAD
6) In the same way we can find the value of angle PDA and by converse of isosceles ∆ theorem we can prove that AP = DP .
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