10.3 Applications & Special Cases

Step 1

Given $a=12, b=12$ . Perimeter $P = 30$ .

Step 2

Third side $c = P - (a+b) = 30 - 24 = 6$ cm.

Step 3

Semi-perimeter $s = 30/2 = 15$ cm.

Step 4

Terms: $s-a = 3, s-b = 3, s-c = 9$ .

Step 5

Area $A = \sqrt{15 \cdot 3 \cdot 3 \cdot 9}$ .

Step 6

$A = \sqrt{15 \cdot 9 \cdot 9} = 9\sqrt{15}$ .

Final Answer

$9\sqrt{15} \text{ cm}^2$

Operation

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Radius (r)

Chord Length (c)

Dist from Center (d)

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