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Finger [1]
3 years ago
9

In geometry, Heron's formula (sometimes called Hero's formula), named after Hero of Alexandria, gives the area of a triangle by

requiring no arbitrary choice of side as base or vertex as origin, contrary to other formulae for the area of a triangle, such as half the base times the height. Use Heron's Formula to find the area, in square yards, of ΔABC.
A. 5.591
B. 7.385
C. 8.270
D. 6.495

Mathematics
1 answer:
Scrat [10]3 years ago
3 0

Answer:

D. 6.495 ft²

Step-by-step explanation:

s = \frac{a+b+c}{2}        Substitute

s = \frac{7+3+5 }{2}        Add

s = 15/2          Divide

s = 7.5

Now use the equation for area

A = \sqrt{s(s-a)(s-b)(s-c)}       Substitute

A=\sqrt{7.5(7.5 - 7)(7.5-3)(7.5-5)   Subtract in the parentheses

A=\sqrt{7.5(0.5)(4.5)(2.5)}                      Multiply

A=\sqrt{42.1875}                                     Take the square root

A = 6.495 ft²

If this answer is correct, please make me Brainliest!

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