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sergij07 [2.7K]
3 years ago
9

Need Help NO LINKS please Special Right Triangles (Radical Answers)

Mathematics
1 answer:
devlian [24]3 years ago
7 0

Answer:

x =  2\sqrt{2} (or \frac{2\sqrt{2} }{1} if it needs to be represented as a rational denominator)

Step-by-step explanation:

We know that;

1.) This triangle is equilateral, and because of the line segment it's divided into 2 right triangles.

2.) The base of the whole triangle would be 4, and the base of the right triangle would be 2, since the base is cut in half with a mid point.

Therefore we can say;

A² + B² = C²

x² + 2² = 4²

x² + 4 = 16

x² = 16 - 4

x² = 8

x = \sqrt{8}

Simplifying this further would be;

\sqrt{8} = \sqrt{4} * \sqrt{2}

\sqrt{8} = 2\sqrt{2} (or \frac{2\sqrt{2} }{1} if it needs to be represented as a rational denominator)

Hope this helps!

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