Question

Find the unknown length x in the following figured a triangle have hypotenuse 12cm perpendicular 3cm find base

Answer 1

${h }^{2} = p ^{2} + b ^{2}$

$12 {}^{2} = 3{ }^{2} + b {}^{2}$

$144 = 9 + b {}^{2}$

$144 - 9 = b {}^{2}$

$135 = b {}^{2}$

$b = \sqrt{135}$

$b = \sqrt{3 \times 3 \times 3 \times 5}$

$b =3 \sqrt{3 \times 5}$

$b = 3 \sqrt{15} \: \: \: \: ans$