219k views
1 vote
If ab=12 cm bc=5 cm find the length of AC in Right angled triangle ABC.​

2 Answers

2 votes

Explanation:

AB = 12 cm

BC = 5 cm

AC = .......?

Use pythagoras theorem


{ac}^(2) = {ab}^(2) + {bc}^(2) \\ {ac}^(2) = {12}^(2) + {5}^(2) \\ ac = √(144 + 25) \\ ac = √(169) \\ ac = 13 \: cm

#CMIIW

User Seth Duncan
by
8.3k points
3 votes

Answer:

SEE BELOW

Explanation:

Since, △ABC is a right angled triangle. We can apply Pythagoras' Theorem to find the length of AB.

According to Pythagoras’ theorem, “In a right angled triangle: The square of the hypotenuse is equal to the sum of the squares of the other two sides.”

Applying Pythagoras’ theorem in △ABC, we get

AB2=AC2+BC2

⇒AB2=52+122

⇒AB2=25+144

⇒AB2=169

⇒AB=169−−−√

⇒AB=13 cm

User Aron Lorincz
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories