Question

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

Answer 1

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!