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Mrac [35]
2 years ago
7

You're given a side length of 8 centimeters. How many equilateral triangles can you construct using this information

Mathematics
1 answer:
goblinko [34]2 years ago
4 0

Answer:

1 equilateral triangle

Step-by-step explanation:

Given

Shape: Equilateral Triangle

Side length = 8cm

Required

Determine the number of triangles

From the question, we understand that the triangle is equilateral and the length of a side is 8cm.

This implies that the length of other sides will also be 8cm.

So, only one triangle can be constructed and their side lengths is 8cm.

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Step-by-step explanation:

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On this picture is shown a quadrilateral inscribed in a circle and by the Inscribed Quadrilateral Theorem the angles on the opposite vertices are supplementary, or in other words are equals to 180 degrees. 

On this exercise it is asked to find the measure of angle B, First of all, you need to find the value of x. To so you have to select two opposite angles on this case angles A and C.

m<A+m<C=180      Substitute the given values for angles A and C
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Now, that the value of x is known you can substitute it in the expression representing angle D, and then subtract that number from 180 to find the measure of angle B.

m<D=x-10             Substitute the value of x
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m<B=180-m<D       Substitute the value of angle D
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