Question

The sides of a triangle are given below. Check whether the sides form a right-angled triangle.

$13cm,12cm,5cm$

• A. Yes
• B. No
• C. Can't say
• D. Data insufficient

Answer 1

Answer: (A)

Yes

Let $a,b.c$ are the sides of the triangle

Given, sides of triangle are
$a=5$ cm
$b=12$ cm
$c=13$ cm

hypotenuese rule of right angled triangle $=a^2+b^2=c^2$

$\Rightarrow c^2={13}^2=169$

$\Rightarrow a^2+b^2=5^2+{12}^2=25+144=169$

$\Rightarrow a^2+b^2=c^2$

Hence, by the converse of Pythagoras theorem, the triangle is a right-angled triangle with Hypotenuse being the largest side = $13$ cm.