Question

a right angled triangle ABC , given that the hypotenuse AC is 13 cm and the side of AB is 5 cm , calculate the side BC​

Answer 1

Right angled triangle

Solve for leg

a=12cm

b Leg 5cm

c Hypotenuse 13cm

Using the formula

c=a2+b2

Solving fora

a=c2﹣b2=132﹣52=12cm

Answer 2

Answer:

The length of the side BC is 12 cm

Step-by-step explanation:

Given:

→ ABC is a right-angled triangle

→ The length side AC (hypotenuse) is 13 cm

→ The length of the side AB is 5 cm

To find out:

The length of the side BC.

Solution:

Since ABC is a right-angled triangle we can find the solution by the Pythagorean theorem.

According to the Pythagorean theorem, we know that,

            Hypotenuse² = Opposite² + adjascent²

From the given,

             AC² = AB² + BC²

              13² = 5² + BC²

               BC² = 13² - 5²

                     = 144

Hence the length of the side BC = √144 = 12 cm.