Question

BA - 5m , BC - 12 cm and what is CA ? In a triangle​

Answer 1

Answer :

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.

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Answer 2

If the triangle is a right angled trinagle and CA is its hypotenuse then we can find its length by using the pythagorus theorem.

By Pythagoras theorem,

CA² = BA² + BC²

=>CA² = 5² +12²

=>CA² = 169

=>CA = √169

=> CA = 13

Therefore length of CA is 13cm