Thank you for visiting Find the area of a triangle with legs that are 12 m 15 m and 9 m A 54 m² B 42 4 m² C. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
Final answer:
The area of the triangle can be found using the Heron's formula.
the area of the triangle is 54m², which is option a.
Explanation:
To find the area of a triangle, we can use the formula for the area of a triangle with given side lengths - the Heron's formula. Let's call the lengths of the legs of the triangle a, b, and c. The formula for the area of a triangle using Heron's formula is:
A = sqrt(s(s-a)(s-b)(s-c))
where s is the semi-perimeter of the triangle calculated as s = (a + b + c) / 2. In this case, a = 12m, b = 15m, and c = 9m. Substituting the values into the formula, we get:
A = sqrt(s(s-a)(s-b)(s-c))
= sqrt((18m)(6m)(3m)(9m))
= sqrt(2916m²)
= 54m²
Therefore, the area of the triangle is 54m², which is option a.
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