Question

A right-angled triangle ABC is such that: AB = 3.5 cm, BC = 2.3 cm and ∠B = 90°

Answer 1

Step-by-step explanation:

A right angled triangle ABC at B

$\angle B = {90}^{o}$

AB=3.5cm and BC = 2.3 cm

BY PYTHAGORAS THEOREM

${(hypotenuse)}^{2} = {(base)}^{2} + {(height)}^{2}$

So,

${ac}^{2} = {ab}^{2} + {bc}^{2} \\ {ac}^{2} = {(2.3)}^{2} + {(3.5)}^{2} \\ {ac}^{2} = 5.29 + 12.25 \\ {ac}^{2} = 17.54 \\ ac = \sqrt{17.54} \\ ac = 4.188$