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statuscvo [17]
1 year ago
11

Here is an equilateral triangle. The length of each side is units. A height is drawn. In an equilateral triangle, a line drawn f

rom one corner to the center of the opposite side represents the height. 1. Find the exact height. 2. Find the area of the equilateral triangle. 3. (Challenge) Using for the length of each side in an equilateral triangle, express its area in terms of .
Mathematics
1 answer:
Temka [501]1 year ago
3 0

1. Height of the equilateral triangle is: √3 units

2. Area of the equilateral triangle = √3 units²

3. Area = √3/4 x², when each side is x.

<h3>What is an Equilateral Triangle?</h3>

A triangle that has all its three sides equal in length, is referred to as an equilateral triangle.

1. Given the each side measures 2 units, and h is the height, applying the Pythagorean theorem, we would have:

h = √(2² - 1²)

h = √(4 - 1)

h = √3

2. Area of the equilateral triangle = 1/2bh = 1/2(2)(√3)

Area of the equilateral triangle = √3 units²

3. If x is the side length of the equilateral triangle, we would have:

height (h) = √[x² - (x/2)²] = √[x² - x²/4] = √(3x²/4) = √3/2x

Area = 1/2bh = 1/2(x)(√3/2x) = √3/4 x²

Learn more about equilateral triangle on:

brainly.com/question/15294703

#SPJ1

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Answer:

Robin will have 12 dimes in his pocket.

Step-by-step explanation:

Since;

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From the above, when a dime is changed to a penny, the amount held by Robin will decrease by $0.09. That is,

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2 years ago
Jake built a skateboard ramp, if the distance of the ramp is 10 ft. The ramp rises a
ikadub [295]

Answer:

Angle made by ramp with ground is ≈19.29^{\circ}

Step-by-step explanation:

Diagram of given scenario is shown below.

Given that,

Horizontal Distance of Skateboard ramp is 10 ft.

Height of Skateboard ramp is 3.5 ft.

From figure,

It is forming a Right angle triangle \triangle ABC.

In \triangle ABC, AB=3.5 and BC=10.

Clearly see that we need to find measure of angle \angle C.

Using Trigonometric ratio:

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Answer:

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Step-by-step explanation:

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48 is divisible by:

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The biggest # that can divide all 3 #'s is 12, so the greatest amount of baskets that can be made is 12 baskets.

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