Question

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

Answer 1

Answer:

SEE BELOW

Step-by-step 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

Answer 2

Step-by-step explanation:

AB = 12 cm

BC = 5 cm

AC = .......?

Use pythagoras theorem

${ac}^{2} = {ab}^{2} + {bc}^{2} \\ {ac}^{2} = {12}^{2} + {5}^{2} \\ ac = \sqrt{144 + 25} \\ ac = \sqrt{169} \\ ac = 13 \: cm$

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