Question

If ab=12 cm bc=5 cm find the length of AC in Right angled triangle ABC.​

Answer 1

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`

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Answer 2

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