Question

In triangle ABCD, AB=13cm, the circle with AB as diameter cuts BC at D. BD=5cm and BC=14cm. Find the length of AC. ​

Answer 1

Answer:

Angle ABC is right angle at C. If AC =5 cm and BC =12cm, what is the length of AB?

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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

∴ Length of AB is 13 cm.

Step-by-step explanation:

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