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2 years ago

The sides of a triangle are in the ratio 2:3:5. The perimeter of the triangle is 55

Mathematics

1 answer:

Lynna [10]2 years ago

7 0

Answer:

The length of each sides are 11 feet, 16.5 feet, 27.5 feet.

Step-by-step explanation:

The ratio of the sides of a triangle are 2:3:5.

The sides of the triangle = 2x, 3x, 5x

The perimeter of the triangle = 55 feet.

2x + 3x + 5x = 55

10x = 55

x = 55/10 = 5.5

Length of each side : 2x = 2*5.5 = 11 feet

3x = 3*5.5 = 16.5 feet

5x = 5 * 5.5 = 27.5 feet

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Someone solve this for me pls

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<h2>Answer:-</h2>

$\pink{\bigstar}$ The measure if ∠x $\large\leadsto\boxed{\tt\purple{43^{\circ}}}$

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• To Find:-

Measure of $\angle$ x

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<h3>• Solution:-</h3>

The given angles are made by a straight line. We know that the total angle made by a straight line is 180°.

Therefore, all the angles should sum upto 180°.

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• Working:-

➪ $\sf (x + 31^{\circ}) + (x + 20^{\circ}) + (x) = 180^{\circ}$

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➪ $\sf x + 31^{\circ} + x + 20^{\circ} + x = 180^{\circ}$

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➪ $\sf 3x + 51^{\circ} = 180^{\circ}$

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➪ $\sf 3x = 180^{\circ} - 51^{\circ}$

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➪ $\sf 3x = 129^{\circ}$

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➪ $\sf x = \dfrac{129}{3}$

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Therefore, the measure of the ∠x is 43°.

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