All categories

3 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]3 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

You might be interested in

Someone solve this for me pls

sladkih [1.3K]

<h2>Answer:-</h2>

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

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• To Find:-

Measure of $\angle$ x

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

<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°.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• Working:-

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

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ $\sf 3x + 51^{\circ} = 180^{\circ}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ $\sf 3x = 180^{\circ} - 51^{\circ}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ $\sf 3x = 129^{\circ}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ $\sf x = \dfrac{129}{3}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

★ $\large{\bold\red{x = 43^{\circ}}}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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

5 0

3 years ago

Is 504 divisible by 9

earnstyle [38]

Yes, 504 divided by 9 is 56

6 0

3 years ago

Read 2 more answers

The table shows the record low temperatures in Juneau, Alaska for each of the 12 months of the year in degrees F. Record Low Tem

nadezda [96]

Answer: -22

Step-by-step explanation: the most repeated number ig

3 0

3 years ago

A rectangular house measuring 50 feet by 24 feet is to have a gravel pathway of constant width built all around it. There is eno

Maksim231197 [3]

First, we determine the area of the rectangular house by multiplying the length by the width. That is,
area of the house = (50 ft)(24 ft) = 1200 ft²
Given that all sides of the house should have the pathway, the length of the house plus the pathway should be 50+2x and the new width would be 24+2x. The new area minus the original area of the house should not be more than 345 ft². Thus, the equation would be,
(50+2x)(24+2x) - 1200 ≤ 345

3 0

2 years ago

Find the value of the missing variables.

dsp73

Answer:

$x^{\circ}=35^{\circ}\\ \\y^{\circ}=55^{\circ}$