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KatRina [158]
3 years ago
8

What is the area of triangle PQR? Round to the nearest tenth of a square unit.

Mathematics
2 answers:
larisa86 [58]3 years ago
7 0
ANSWER

111.3 square units.

EXPLANATION

The formula for calculating the area of a triangle is.

Area = \frac{1}{2} \times base \times height
Let us the side of the triangle with side 12 units to be the base of the triangle.

Then the height of the triangle can be determined from the diagram using trigonometry.

\sin(68 \degree) = \frac{height}{20 }

height = 20 \sin(68 \degree)

height = 18.54

We now plug in the values in to the formula to obtain,

Area = \frac{1}{2} \times 12 \times 18.54

Area = 111.3 \: square \: units

See graph

joja [24]3 years ago
6 0

111.3 square units according to e2020

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