Question

in a right angle triangle ABC ang B equal to 90 degree, AC equal to 17 cm and AB equal to 8 cm find the length of Bc.​

Answer 1

Answer :

15cm.

Explanation :

In a right angled triangle ABC,

Length of AC & AB is 17cm and 8cm respectively.

And the right angle i.e., 90° is angle B.

Find the length of BC.

We know that,

The opposite side of the right angle is hypotenuse i.e., AC - 17cm.

By Pythagoras theorem :

→ AC² = AB² + BC²

Substitute the given values :

→ 17² = 8² + BC²

→ 289 = 64 + BC²

→ 289 - 64 = BC²

→ 225 = BC²

→ √225 = BC

→ 15 = BC.

∴ Length of BC is 15cm.

Answer 2

Given:-

• ABC is a right angles triangle in which angle B is right angle.
• Length of angle AB is 8 cm.
• Length of angle AC is 17 cm.

To Find:-

• Length of BC?

Solution:-

According to Pythagoras theorem:-

$\large\dag{ \boxed{ \underline{ \tt { \blue{AC² = AB² + BC²}}}}}$

Now, value of BC:-

• 17² = 8² + BC²
• 289 = 64 + BC²
• BC² = 289 - 64
• BC² = 225
• BC = √225
• BC = 15

$\large\dag{ \boxed{ \underline{ \tt { \red{ \therefore \: Length \: of\: BC \: is \:15 \: cm}}}}}$