Question

The perimeter of a right triangle is 18 cm the length of its perpendicular sides is 4 1/2. Find the length of hypotenuse. (with diagram)​

Answer 1

Given,

The perimeter of a triangle is $8cm$ the length of its perpendicular sides is $4\frac{1}{2}$.

Formula,

Perimeter of right angle triangle $= a+b+c$

Here, $a=b= 4\frac{1}{2}$

According to the question,

$a+b+c=18$

$\frac{9}{2}+\frac{9}{2}+c=18$

$9+c=18\\c=9$

Therefore, the hypotenuse of the right angle triangle is $9cm$.

Answer 2

Given,

The perimeter of the right triangle $=18cm$

The length of the sides of triangle is $4\frac{1}{2} =\frac{9}{2}$

Formula for perimeter of right triangle

$a+b+c$

From the question the two sides are equal.

So, we can write

$P=2a+b$

$18=2(\frac{9}{2} )+c$

$18=9+c$

$c=18-9$

$c=9cm$

Therefore, the length of other side(hypotenuse) is $9cm$