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aliina [53]
3 years ago
6

the perimeter of an equilateral triangle is 150cm. If the length of the altitude of the triangle is x√3cm, what is the value of

x?​

Mathematics
1 answer:
jenyasd209 [6]3 years ago
4 0

Answer:

X = 25

Step-by-step explanation:

To solve this question, we'll first of all find determine the side length of the triangle from the perimeter.

Perimeter of an equilaterial triangle = 3 * s

S = side length

Perimeter = 150cm

150 = 3s

S = 150 / 3

S = 50cm

The side lengths are 50cm each since they are all equal.

To find x,

We have to divide the triangle equally into two different part.

Check the first attachment for better illustration on how the equilaterial triangle is.

Check the second attachment for better illustration on the triangle when its divided into a right angle triangle.

From the right angle triangle, we can use pythagorean theorem to solve for x

a² = b² + c²

a = 50cm

b = 25cm

c = x√(3)

50² = [x√(3)]² + 25²

2500 = x² * 3 + 625

2500 - 625 = 3x²

1875 = 3x²

X² = 1875 / 3

X² = 625

X = √(625)

X = 25

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jok3333 [9.3K]

Applying the segment addition theorem, the length of line segment VW is: 2 units.

<h3>What is the Segment Addition Theorem?</h3>

The segment addition theorem states that the sum of the lengths of two segments that make up a larger line segment equals the measure of the larger line segment, if the point on the line segments are collinear.

UV = 8x

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UV + VW = UW (segment addition theorem)

Substitute the values

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Open bracket

8x + x + 1 = 10

Combine like terms

9x + 1 = 10

Subtract 1 from both sides

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Therefore, applying the segment addition theorem, the length of line segment VW is: 2 units.

Learn more about the segment addition theorem on:

brainly.com/question/1397818

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7 0
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Yeah thanks m8 for this
nikitadnepr [17]

Step-by-step explanation:

the process is shown in the picture.

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ANSWER CHECK:

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I hope this helps :}

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