Solve the problem.
-Find the area of a triangular garden if the sides are approximately 10 feet, 8 feet, and 16 feet (to the nearest square foot).
A) $8 \mathrm { ft } ^ { 2 }$
B) $615 \mathrm { ft } ^ { 2 }$
C) $33 \mathrm { ft } ^ { 2 }$
D) $640 \mathrm { ft } ^ { 2 }$

Question

Solve the problem.
-Find the area of a triangular garden if the sides are approximately 10 feet, 8 feet, and 16 feet (to the nearest square foot). 
A) $8 \mathrm { ft } ^ { 2 }$
B) $615 \mathrm { ft } ^ { 2 }$
C) $33 \mathrm { ft } ^ { 2 }$
D) $640 \mathrm { ft } ^ { 2 }$

Quizplus · Accepted Answer

The given sides do not form a valid triangle because the sum of the lengths of any two sides must be greater than the length of the third side. However, if we assume they do form a triangle, we can use Heron's formula to find the area. The semi-perimeter $s = \frac{10 + 8 + 16}{2} = 17$. The area $A = \sqrt{s(s-10)(s-8)(s-16)} = \sqrt{17 \times 7 \times 9 \times 1} = \sqrt{1071} \approx 33 \mathrm { ft } ^ { 2 }$.

Solve the Problem 8ft28 \mathrm { ft } ^ { 2 }8ft2

Solve the Problem $8 \mathrm { ft } ^ { 2 }$