If the length of equal sides of an isosceles triangle is 5 cm and base is 6 cm, then find its area using heron’s formula.
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Answer:
12 cm²
Step-by-step explanation:
Given, a = 5 cm
b = 5 cm
c = 6 cm
s = (5+5+6)/2 = 8 cm
According to Heron's formula,
Area= √{s (s-a) (s-b) (s-c)}
= √{8 (8-5) (8-5) (8-6)}
= √ (8*3*3*2)
= √ 144
= 12 cm²
Therefore, the area of the isosceles triangle is 12 cm².
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