A quadrilateral PQRS is drawn to circumscribe a circle.If PQ = 12 cm, QR = 15 cm and RS = 14 cm, then find the length of SP is
Question
A quadrilateral PQRS is drawn to circumscribe a circle.If PQ = 12 cm, QR = 15 cm and RS = 14 cm, then find the length of SP is
Solution
To find the length of SP, we can use the property that in a circumscribed quadrilateral, the sum of opposite sides is equal.
Given that PQ = 12 cm, QR = 15 cm, and RS = 14 cm, we can find the length of SP.
Step 1: Add the lengths of opposite sides PQ and RS: PQ + RS = 12 cm + 14 cm = 26 cm.
Step 2: Subtract the length of QR from the sum obtained in step 1: 26 cm - 15 cm = 11 cm.
Therefore, the length of SP is 11 cm.
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