Question

The sides AB and AC of a right triangle ABC are such that AB=5 cm AC=13 if angle B=90 degrees then find the length of bc​

Answer 1

Answer:

BC = 12 cm

Step-by-step explanation:

∵ ∠ B=90

∴ the right angle triangle is based at B

∴ AC is the hypotenuse

∵ according to pythagoras's therom : hypotenuse² = base² + hight²

∴ AC² = AB² + BC²

∴ 13² = 5² + BC²

∴ BC = $\sqrt{13^{2} -5^{2} }$

∴ BC = 12 cm