Question

in a triangle ABC right angled at B,AC=29cm and BC=20cm . Find the length of AB.​

Answer 1

Final answer:- The length of AB is 21cm.

Step-by-step explanation:

• Given that ABC is a right-angled triangle at B as shown in fig.

$AC = 29 cm (Hypotenuse)\\BC = 20 cm (base)\\AB = ? ( perpendicular)$

In this question we will use pythagoras theorem,

$(Hypotenus)^2 = (base)^2 + (Pereendicular)^2\\(AC)^2 = (BC)^2 + (AC)^2\\(29)^2 = (20)^2 + (AC)^2\\841 = 400 + (AC)^2\\(AC)^2 = 841 - 441 \\(AC) = \sqrt{441\\\\AC = 21 cm$

So, the length of AB is 21cm.