joycel410 joycel410

25-06-2018
Mathematics

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Sketch. Kite qrst has a short diagonal of qs and a ling diagonal of rt. The diagonals intersect at point p. Side qr=5 m and diagonal qs = 6m Find the length if segment rp

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smmwaite smmwaite

25-06-2018

Answer
4m

Explanation
Δqrp is a right triangle.
If ps = 6m then, qp = 3m. So we can find line pr using pythagoras theorem.
rp = √(5²-3²) = √16 = 4m

The Δqrp≡Δqtp.

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