To find the area of a triangle given the lengths of all three sides, you can use Heron's formula. Here are the steps:

1. Calculate the semi-perimeter of the triangle. The semi-perimeter (s) is half the sum of the lengths of the sides of the triangle. In this case, s = (5 + 6 + 7) / 2 = 9.

2. Use Heron's formula to find the area. The formula is √[s(s - a)(s - b)(s - c)], where a, b, and c are the lengths of the sides of the triangle. In this case, the area = √[9(9 - 5)(9 - 6)(9 - 7)] = √[9*4*3*2] = √[216] = 14.6969 square units.

So, the area of triangle ABC is approximately 14.7 square units.

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To find the area of a triangle given the lengths of all three sides, you can use Heron's formula. Here are the steps:

1. Calculate the semi-perimeter of the triangle. The semi-perimeter (s) is half the sum of the lengths of the sides of the triangle. In this case, s = (5 + 6 + 7) / 2 = 9.

2. Use Heron's formula to find the area. The formula is √[s(s - a)(s - b)(s - c)], where a, b, and c are the lengths of the sides of the triangle. In this case, the area = √[9(9 - 5)(9 - 6)(9 - 7)] = √[9*4*3*2] = √[216] = 14.6969 square units.

So, the area of triangle ABC is approximately 14.7 square units.

Knowee AI · Accepted Answer

To find the area of a triangle given the lengths of all three sides, you can use Heron's formula. Here are the steps:

1. Calculate the semi-perimeter of the triangle. The semi-perimeter (s) is half the sum of the lengths of the sides of the triangle. In this case, s = (5 + 6 + 7) / 2 = 9.

2. Use Heron's formula to find the area. The formula is √[s(s - a)(s - b)(s - c)], where a, b, and c are the lengths of the sides of the triangle. In this case, the area = √[9(9 - 5)(9 - 6)(9 - 7)] = √[9*4*3*2] = √[216] = 14.6969 square units.

So, the area of triangle ABC is approximately 14.7 square units.

triangle ABC has side-lengths |AB|=5,|BC|=6,|CA|=7. Find the triangles area.

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