Question

Triangle ABC is right angled at C if AC 5 cm and BC 12 cm find the length of AB search

Answer 1

Aɴsᴡᴇʀ:

• The length of AB = 13 cm

Gɪᴠᴇɴ:

• Triangle ABC is right angled at C.
• If AC is 5 cm and BC is 12 cm.

Nᴇᴇᴅ Tᴏ Fɪɴᴅ:

• The length of AB = ?

Solution:

Aᴄᴄᴏʀᴅɪɴɢ ᴛᴏ ᴛʜᴇ Pʏᴛʜᴀɢᴏʀᴀs ᴛʜᴇᴏʀᴇᴍ:

In Triangle ABC,

➦ AB² = AC² + BC²

➦ AB² = 5² + 12²

➦ AB² = 25 + 144

➦ AB² = 169

➦ AB = √169

➦ AB = 13 cm

Tʜᴇʀᴇғᴏʀᴇ:

• The length of AB is 13 cm.

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

Answer 2

Answer:

Side AB will be 13 cm of a right-angled triangle ABC.

Step-by-step explanation:

A right-angled triangle is defined as one that has one angle = 90 degrees.

Now,

AC = 5cm

BC = 12 cm

the triangle is right-angled at C which means C = 90 degrees

We will apply the pythagoras theorem.

$AC^{2} +BC^{2} = AB^{2}\\5^{2} + 12^{2} = 169$

now we need to find AB

AB will be the square root of 169

$\sqrt{169}\\= 13$

Hence, 13cm is the length of side AB.