Question
Download Solution PDFFind the area of a triangle whose length of each side is 13 inches, 15 inches and 14 inches.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Length of side a = 13 inches
Length of side b = 15 inches
Length of side c = 14 inches
Formula Used:
Heron's formula: Area of a triangle = \(√(s(s-a)(s-b)(s-c))\), where s is the semi-perimeter of the triangle.
Solution:
We can use Heron's formula to find the area of the triangle.
First, we need to calculate the semi-perimeter of the triangle:
s = (a + b + c)/2
⇒ (13 + 15 + 14)/2
⇒ 21
Next, we can use Heron's formula to find the area of the triangle:
Area = \(√(s(s-a)(s-b)(s-c))\)
⇒ \(√(21(21-13)(21-15)(21-14))\)
⇒ √(21(8)(6)(7))
⇒ √(24 x 32 x 72)
⇒ 84
Therefore, the area of the triangle is 84 square inches.
Last updated on May 28, 2025
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