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ΔJKL, j = 95 inches, k = 25 inches and l=80 inches. Find the area of ΔJKL to

User Pareshgoel
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1 Answer

4 votes

Final answer:

The area of triangle JKL with sides j = 95 inches, k = 25 inches, and l = 80 inches is found using Heron's formula, and it is approximately 866.0254 square inches.

Step-by-step explanation:

To find the area of triangle JKL with sides j = 95 inches, k = 25 inches, and l = 80 inches, we can use Heron's formula. Heron's formula states that the area of a triangle whose sides have lengths a, b, and c is given by:

Area = √[s(s - a)(s - b)(s - c)]

where s is the semi-perimeter of the triangle, calculated as:

s = (a + b + c) / 2

For triangle JKL:

  • s = (95 + 25 + 80) / 2
  • s = 200 / 2
  • s = 100 inches

Now, we can calculate the area:

Area = √[100(100 - 95)(100 - 25)(100 - 80)]

Area = √[100(5)(75)(20)]

Area = √[750000]

Area = 866.0254 square inches

Therefore, the area of triangle JKL is approximately 866.0254 square inches.

User Zincorp
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8.6k points
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