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# Right Angle Triangle Calculator

The Right Angle Triangle is a triangle whose one angle is 90°. A right-angled triangle follows the Pythagoras theorem.

## What is Right Angle Triangle Calculator?

'Right Angle Triangle calculator' is a free online tool that finds a triangle is a right-angle triangle or not within a few seconds.

### Right Angle Triangle Calculator

## How to Use the Right Angle Triangle Calculator?

Follow the steps mentioned below to find the right angle triangle.

**Step 1:**Input the values of the Hypotenuse, Base, and the Altitude in the respective input boxes.**Step 2:**Click on "**Calculate**" to find the triangle is a right angle triangle or not.**Step 3:**Click on "**Reset**" to clear the fields and enter the new values.

## How to Calculate Right Angle Triangle?

A right-angle triangle is having 3 sides the base, altitude, and hypotenuse. The angle formed by the joining point of altitude and the base is 90°. A right-angle triangle follows Pythagoras Theorem.

Figure: Right angle triangle

The Pythagoras Theorem formula for a right angle triangle is: **Hypotenuse ^{2} = Base^{2} + Altitude^{2}**

Let's learn through an example how to find a triangle is a right angle triangle or not.

**Solved Examples on Right Angle Triangle Calculator**

**Example 1:**

If the three sides of a triangle are 13 units, 12 units, and 5 units. Calculate if the triangle formed is a right-angle triangle or not.

**Solution:**

The longest side of the triangle is the hypotenuse that is, Hypotenuse = 13 units

The other two sides are: Base = 12 units and Altitude = 5 units

Now apply the Pythagoras theorem and if the Pythagoras theorem formula satisfies then the triangle is a right-angled triangle.

Hypotenuse^{2} = Base^{2} + Altitude^{2}

13^{2} = 12^{2} + 5^{2}

169 = 144 + 25

169 = 169

Since the Pythagoras theorem satisfies, therefore the triangle is a right angle triangle.

**Example 2:**

If the three sides of a triangle are 5 units, 7 units, and 9 units. Calculate if the triangle formed is a right-angle triangle or not.

**Solution:**

The longest side of the triangle is the hypotenuse that is, Hypotenuse = 9 units

The other two sides are: Base = 5 units and Altitude = 7 units

Now apply the Pythagoras theorem and if the Pythagoras theorem formula satisfies then the triangle is a right-angled triangle.

Hypotenuse^{2} = Base^{2} + Altitude^{2}

9^{2} = 5^{2} + 7^{2}

81 = 25 + 49

81 ≠ 74

Since the Pythagoras theorem not satisfies, therefore the triangle is not a right angle triangle.

**Example 3:**

If the three sides of a triangle are 3 units, 4 units, and 5 units. Calculate if the triangle formed is a right-angle triangle or not.

**Solution:**

The longest side of the triangle is the hypotenuse that is, Hypotenuse = 5 units

The other two sides are: Base = 3 units and Altitude = 4 units

Now apply the Pythagoras theorem and if the Pythagoras theorem formula satisfies then the triangle is a right-angled triangle.

Hypotenuse^{2} = Base^{2} + Altitude^{2}

5^{2} = 3^{2} + 4^{2}

25 = 9 + 16

25 = 25

Since the Pythagoras theorem satisfies, therefore the triangle is a right angle triangle.

Now, use our online Right Angle Triangle calculator and find if the triangle is right angle triangle or not whose sides are:

1) 15 units, 5 units, and 10 units

2) 25 units, 24 units, and 7 units

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