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spin [16.1K]
3 years ago
8

What is the area of a triangle whose side is 17 meters long​

Mathematics
1 answer:
Lunna [17]3 years ago
8 0

Answer:

125.141

Step-by-step explanation:

Assuming that this is an equilateral triangle, I am going to divide this triangle in half to get a right triangle.

17 is our hypotenuse

17/2 = 8.5, this is one of our legs

The other leg is our height, which we will find.

We use Pythagoras Theorem to find the height/leg: a^{2} +b^{2} =c^{2}

17^{2} -8.5^{2} = 216.75

\sqrt{216.75} = 14.72243186

Now, we use another formula to find the area of the triangle: \frac{Base*Height}{2}

14.72243186 × 17 = 250.2813416

250.2813416 ÷ 2 = <u>125.1406708</u>

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