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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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The length of ladder used is 12.25 ft.

<h3>What is Pythagoras theorem?</h3>

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse .

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

example:

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Solution:

Given : Hypotenuse = 16 units

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On substituting the given dimensions to the Pythagoras theorem formula

Hypotenuse^2 = Base^2 + Height^2

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base=  2.5 ft,  

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Using Pythagoras theorem,

H² =  B² + P²

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H= 12.25 ft

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