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Paraphin [41]
2 years ago
6

Use Heron's formula to find the area of the triangle. Round to the nearest square unit.

Mathematics
1 answer:
kakasveta [241]2 years ago
8 0

Answer:

24.25 in²

Step-by-step explanation:

s = (a + b + c)/2 = (8 + 13 + 7)/2 = 14 in

s - a = 6, s - b = 1, s - c = 7

so

the area = \sqrt{14\times6\times1\times7}=24.25

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The length of the ladder is 75ft.

<h3>What is hypotenuse?</h3>

The longest side, or hypotenuse, of a right-angled triangle is the side that faces away from the right angle. The Pythagorean theorem asserts that the hypotenuse's square length equals the sum of the squares of the lengths of the other two sides, and this can be used to determine the hypotenuse's length.

<h3>According to the information:</h3>

The ladder makes an angle of 28° with the ground and the top of the ladder reaches 35ft

Therefore, we have:

Sineα = opposite/hypotenuse

Where:

Opposite = 35

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Sine(28) = 35/Length

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Length = 75ft

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The length of the ladder is 75 ft.

To know more about hypotenuse visit:

brainly.com/question/8587612

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