Question

Video In a right triangle ABC, angle B=90•.lf AB =12cm, BC=16cm,find AC.

Answer 1

Answer:

10.6 cm²

Step-by-step explanation:

By Pythagoras Theorem,

$(ac) {}^{2} = (bc) {}^{2} - (ab) {}^{2}$

$(ac) {}^{2} = (16) {}^{2} - (12) {}^{2}$

$= 256 - 144$

$ac {}^{2} = 112$

Moving the square root(²) from LHS to RHS,

$ac = (112) {}^{2}$

$ac = 10.58$

Rounding off to nearest 10s value,

$ac = 10.6 \: cm {}^{2}$

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