A triangle with an area of $150 c m^{2}$ has a base length of $50 c m$ . What is its height?

9 c m

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6 c m

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12 c m

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3 c m

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Solution

The correct option is B $6 c m$
Given:
Base of the triangle, $b = 50 c m$
Area of the triangle, $A = 150 c m^{2}$

Let the height of the triangle be $h$ .
Using the formula for area of triangle,
$A = \frac{1}{2} b h$
$h = \frac{2 A}{b}$
$h = \frac{2 \times 150}{50}$
$h = 6 c m$

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