Question

the following figure angle abc is equal to 90 degree and BD perpendicular to AC if ad = 8 cm CD = 2 cm and then find the length of BD

Answer 1

By the theorem of geometric mean

${bc}^{2} = ac \times cd$

${bc}^{2} = 8 \times 2$

${bc}^{2} = 16$

$bc = \sqrt{16}$

$bc = 4 cm$

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