k = 5.1 cm, l = 6.4 cm and m=3.6 cm. Find the area of ΔKLM to the nearest 10th of a square centimeter

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Answer:

A = 9.2 cm²

Step-by-step explanation:

According to Heron's formula :

A = [s(s - a)(s - b)(s - c)]^½

Here a, b and c are the sides of the triangle, and, 

s = (a + b + c)/2

a = k = 5.1 cm, b = l = 6.4 cm and c = m = 3.6 cm

So, s = (5.1 + 6.4 + 3.6)/2 = 7.55

Thus, 

A =  [7.55(7.55 - 5.1)(7.55 - 6.4)(7.55 - 3.6)]^½

On solving, 

A = 9.2 cm²

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