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Right Triangle Calculator
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Right triangle is a triangle whose one of the angle is right angle and remaining two angles are equal .It is made up of three sides namely base, perpendicular side and hypotenuse and three angles.
Right Triangle Calculator is used to calculate the perimeter as well as area of the triangle. Observe the figure,here a is the perpendicular side and b is the base and c is the hypotenuse.

## Steps for Right Triangle Calculator

Step 1 :

Read the problem and list out the given lengths a and b.

a = Perpendicular side and

b = base.

Step 2 :

To find the perimeter use Pythagorean theorem, which is given as:

c2 = a2 + b2

Substituting the values of a and b, we get the Hypothenuse c which is the perimeter of the triangle.

The Area of a right triangle is given by

A = $\frac{1}{2}$ $\times$ a $\times$ b

Substituting the values of a and b in the above formula, we get the area of the right triangle.

## Problems on Right Triangle Calculator

1. ### Calculate the perimeter of a right triangle having base as 2cm and perpendicular side as 5cm?

Step 1 :

given: a = Perpendicular side = 2 cm

b = base side = 5 cm.

Step 2 :

The Perimeter is given by Pythogorean theorem as:

c2 = a2 + b2

= 22 + 52

= 29

c = $\sqrt{29}$ =  5.385

The perimeter of right trangle is = 2 + 5 + 5.385 = 12.38500

2. ### Calculate the area of triangle having base as 4 cm and perpendicular side as 5 cm?

Step 1 :

given: Perpendicular side = a = 5 cm,

Base side = b = 4 cm

Step 2 :

The Area of triangle is given by

A = $\frac{1}{2}$ $\times$ a $\times$ b

= $\frac{1}{2}$ $\times$ 5 $\times$ 4

= 10 cm.