Maths-
General
Easy

Question

Given: P(0,h), Q(h,0), R(-h,0)
Prove: △ PQR is an isosceles triangle.

hintHint:

Use distance formula.

The correct answer is: PQR is an isosceles triangle.


    Complete step by step solution:

    Here P = (0,h)

    Q = (h,0)

    R = (-h,0)

    Length PQ = square root of left parenthesis 0 minus h right parenthesis squared plus left parenthesis h minus 0 right parenthesis squared end root equals square root of 2 h squared end root

    Length PR = square root of left parenthesis 0 minus h right parenthesis squared plus left parenthesis negative h minus 0 right parenthesis squared end root equals square root of 2 h squared end root

    Length QR = square root of open parentheses 0 minus 0 plus left parenthesis negative h minus h right parenthesis squared close end root equals square root of 4 h squared end root equals 2 h

    Here length of PQ = PR

    ⇒PQR is an isosceles triangle.

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