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Find the area of the triangle below.Be sure to include the correct unit in your answer.17cm7cm11cm

Question

Find the area of the triangle below.Be sure to include the correct unit in your answer.17cm7cm11cm

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Solution

The given dimensions seem to represent the sides of a triangle. To find the area of a triangle with sides a, b, and c, we can use Heron's formula. Here are the steps:

  1. Calculate the semi-perimeter (s) of the triangle. The semi-perimeter is half the sum of the lengths of the sides of the triangle. In this case, a = 17 cm, b = 7 cm, and c = 11 cm. So, s = (a + b + c) / 2 = (17 cm + 7 cm + 11 cm) / 2 = 17.5 cm.

  2. Use Heron's formula to find the area (A) of the triangle. Heron's formula is A = sqrt[s(s - a)(s - b)(s - c)], where sqrt denotes the square root. Substituting the given values, we get A = sqrt[17.5 cm * (17.5 cm - 17 cm) * (17.5 cm - 7 cm) * (17.5 cm - 11 cm)].

  3. Calculate the value inside the square root: 17.5 cm * 0.5 cm * 10.5 cm * 6.5 cm = 189.375 cm².

  4. Take the square root of 189.375 to find the area of the triangle. The square root of 189.375 is approximately 13.76 cm.

So, the area of the triangle is approximately 13.76 cm².

This problem has been solved

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