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What is the area, in square millimeters, of a triangle whose side (September 2023 - G01)
Updated on 06/05/2024
What is the area, in square millimeters, of a triangle whose side lengths are 5 millimeters, 5 millimeters, and 6 millimeters?
Alternatives
A. 6
B. 12
C. 15
D. 25
E. 30
Solution
Correct answer: B. 12.
A classic problem!
To find the area of a triangle, we can use Heron's formula:
Area = √(s(s-a)(s-b)(s-c))
where a, b, and c are the side lengths, and s is the semi-perimeter:
s = (a + b + c) / 2
First, let's calculate the semi-perimeter:
s = (5 + 5 + 6) / 2 = 8
Now, we can plug in the values:
Area = √(8(8-5)(8-5)(8-6))
= √(8 × 3 × 3 × 2)
= √(144)
= 12
Exam Edition: September 2023 - G01
Exam Year: 2023
Related topics: Geometry, Triangle Area
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