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Questions and Answers
What is the formula for the area of a triangle using Heron's formula?
What is the formula for the area of a triangle using Heron's formula?
- $A = \frac{1}{2}ab\sin(C)$
- $A = \sqrt{s(s-a)(s-b)(s-c)}$ (correct)
- $A = \frac{1}{4}\sqrt{(a^2 + b^2 + c^2)^2 - 2(a^4 + b^4 + c^4)}$
- $A = \frac{1}{2}bh$
What is the semiperimeter of a triangle with side lengths $a = 8$, $b = 15$, and $c = 17$?
What is the semiperimeter of a triangle with side lengths $a = 8$, $b = 15$, and $c = 17$?
- $s = 21$
- $s = 26$
- $s = 25$ (correct)
- $s = 20$
For a triangle with side lengths $a = 3$, $b = 4$, and $c = 5$, what is its area using Heron's formula?
For a triangle with side lengths $a = 3$, $b = 4$, and $c = 5$, what is its area using Heron's formula?
- $A = 8$
- $A = 10$
- $A = 12$
- $A = 6$ (correct)
In Heron's formula, what does 's' represent?
In Heron's formula, what does 's' represent?
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For a triangle with side lengths $a = 7$, $b = 24$, and $c = 25$, what is its area using Heron's formula?
For a triangle with side lengths $a = 7$, $b = 24$, and $c = 25$, what is its area using Heron's formula?
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