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Solnce55 [7]
1 year ago
14

An equilateral triangle has a perimeter of 15x3 33x5 feet. what is the length of each side? x3 feet 5 11x2 feet 5x2 11 feet 5x3

11x5 feet
Mathematics
1 answer:
deff fn [24]1 year ago
8 0

The length of each side of the equilateral triangle is 5x³ + 11x⁵

<h3>Calculating Perimeter</h3>

From the question, we are to determine the length of each side of the equilateral triangle.

An equilateral triangle has its sides <u>equal</u> to each other.

If the length of a side of an equilateral triangle is c,

Then, the perimeter, P, of the triangle is

P = 3c

From the given information,

P = 15x³ + 33x⁵

∴ 3c = 15x³ + 33x⁵

c = (15x³ + 33x⁵) / 3  

c = 3(5x³ + 11x⁵) / 3

c = 5x³ + 11x⁵

Hence, the length of each side of the equilateral triangle is 5x³ + 11x⁵

Learn more on Calculating perimeter here:
brainly.com/question/24382052

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Given: △ABC, m∠A=60° m∠C=45°, AB=8 Find: Perimeter of △ABC, Area of △ABC . FIRST CORRECT ANSWER GETS POINTS AND BRAINLIEST!!!! T
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Given : In △ABC, m∠A=60°, m∠C=45°,and AB=8 unit

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Sum of measures of the three angles of any triangle equal to the straight angle, and also expressed as 180 degree

∴m∠A+ m∠B+m∠C=180                      ......[1]

Substitute the values of m∠A=60° and m∠C=45° in [1]

60^{\circ}+ m\angle B+45^{\circ}=180^{\circ}

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Law of sine rule is an equation relating the lengths of the sides of a triangle  to the sines of its angles.

\frac{\sin A}{BC} = \frac{\sin C}{AB}

Substitute the values of ∠A=60°, ∠C=45°,and AB=8 unit to find BC.

\frac{\sin 60^{\circ}}{BC} =\frac{\sin 45^{\circ}}{8}

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BC = 8 \cdot \frac{\sin 60^{\circ}}{\sin 45^{\circ}}

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AC=8 \cdot \frac{0.96592582628}{0.707106781} =10.9283 unit

To find the perimeter of triangle ABC;

Perimeter = Sum of the sides of a triangle

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A = \frac{1}{2} \times AB \times AC \times \sin A

Substitute the values in above formula to get area;

A=\frac{1}{2} \times 8 \times 10.9283 \times \sin 60^{\circ}

A = 4 \times 10.9283 \times 0.86602540378

Simplify:

Area of triangle ABC = 37.856 (approx) square unit





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