Question

The area of a right triangular region is 38.5cm2. if one of the sides containing the right angle is 11 cm, then find the other side.

Answer 1

area of triangle is 0.5*b*h , for right angled triangle h will be a side , so substitute it , 0.5*b*11=38.5 solving we get b=7 , that is other side

Answer 2

The length of other side is 7 cm.

Step-by-step explanation:

Area of a right angle triangle is

$Area=\dfrac{1}{2}\times base\times height$

It is given that one of the sides containing the right angle is 11 cm.

Let the other side containing the right angle is x cm.

So, the area of triangle with base 11 and height x is

$Area=\dfrac{1}{2}\times (11)\times x$

$Area=5.5x$

It is given that the area of a right triangular region is 38.5 cm².

$5.5x=38.5$

Divide both sides by 5.5.

$x=\dfrac{38.5}{5.5}$

$x=7$

Therefore, the length of other side is 7 cm.

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