In a parallelogram PQRS, PQ = 10 cm. The altitude corresponding to the sides PQ and SP are respectively 6 cm and 8 cm. Find SP

15 cm

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14 cm

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7.5 cm

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6 cm

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Solution

The correct option is C 7.5 cm
Area of parallelogram = Base $\times$ Height
So, Area of parallelogram = $P Q \times 6$
Or
Area of parallelogram = $S P \times 8$
$\Rightarrow P Q \times 6 = S P \times 8$
$\Rightarrow S P = (10 \times 6) \div 8 = 7.5 c m$

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In a parallelogram PQRS, PQ = 10 cm. The altitude corresponding to the sides PQ and SP are respectively 6 cm and 8 cm. Find SP

The correct option is C 7.5 cm Area of parallelogram = Base × Height So, Area of parallelogram = PQ×6OrArea of parallelogram = SP×8 ⇒PQ×6=SP×8 ⇒SP=(10×6)÷8=7.5 cm

The correct option is C 7.5 cm
Area of parallelogram = Base $\times$ Height
So, Area of parallelogram = $P Q \times 6$
Or
Area of parallelogram = $S P \times 8$
$\Rightarrow P Q \times 6 = S P \times 8$
$\Rightarrow S P = (10 \times 6) \div 8 = 7.5 c m$