Question

find area using heron's formula

$\sqrt{28(28 - 24)(28 - x)(28 - 25)} = 84$
find x​

Answer 1

Step-by-step explanation:

$\sqrt{28(28 - 24)(28 - x)(28 - 25)} = 84 \\ = \sqrt{28 \times 4(28 - x) \times 3} = 84 \\ = both \: side \: on \: squaring \\ = ( \sqrt{336 \times (28 - x) } ) {}^{2} = {84}^{2} \\ = 9408 - 336x = 7056 \\ = > 336x = 9408 - 7056 \\ = 336x = 2352 \\ = > x = 7$

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