The area of the triangle PQR is $72$ square inches. What is the height of the triangle?

18

inches

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36

inches

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9

inches

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None of the above

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Solution

The correct option is C $9$ inches
Given:

Area of triangle = $72$ square inches

Base = $16$ inches

Now,
$Area of triangle = \frac{1}{2} \times Base \times Height$

$⟹ 72 = \frac{1}{2} \times 16 \times h$

$⟹ h = \frac{72 \times 2}{16} = 9 inches$

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The area of the triangle PQR is 72 square inches. What is the height of the triangle?

The correct option is C 9 inchesGiven: Area of triangle = 72 square inches Base = 16 inches Now, Area of triangle=12×Base×Height ⟹72=12×16×h ⟹h=72×216=9 inches

The area of the triangle PQR is $72$ square inches. What is the height of the triangle?

The correct option is C $9$ inches
Given:

Area of triangle = $72$ square inches

Base = $16$ inches

Now,
$Area of triangle = \frac{1}{2} \times Base \times Height$

$⟹ 72 = \frac{1}{2} \times 16 \times h$

$⟹ h = \frac{72 \times 2}{16} = 9 inches$