# Special Right Triangles Worksheet

Special Right Triangle – One of the shapes of shapes is a triangle, a triangle is defined as a shape that has three angles. Furthermore, triangles have many types, one of which is a right triangle.

A right triangle is a triangle where one of the angles has a magnitude of 90 ^ {\ circ} 90. Here is an example of a right triangle. The side facing a right angle is called the hypotenuse or hypotenuse, while the other two sides are called the vertical side. For example, a, b a, b, and c, c are the sides of a right triangle where c, c are the hypotenuse. Then a, b, a, b, and c c satisfy the Pythagorean equation c ^ 2 = a ^ 2 + b ^ 2. c 2 = a 2 + b 2

In addition, the sum of the two angles other than the right angle is 90 ^ {\ circ} 90 As for the special right triangle. A special right triangle is a right triangle whose angles are special angles such as 30 ^ {\ circ}, 45 ^ {\ circ}, 60 ^ {\ circ}, and 90 ^ {\ circ} 30 ∘, 45 °, 60 ∘, and 90 ∘. These angles make calculating the sides of the triangle easier.

## Properties – Properties of the Elbow Triangle

There are many types of right triangles, but triangles are divided into 3 main zones, namely:

- First, an angled triangle has 2 perpendicular sides
- Second, a right triangle has 1 hypotenuse and one of the angles is a right angle
- Third, an angled triangle does not have fold symmetry and rotational symmetry

## The Formula for the Perimeter

The formula for the perimeter and area of a right triangle. Area of the right triangle:

L = ½ x base x height

The perimeter of the right triangle:

K = side 1 + side 2 + side 3

## Example of Area of an Elbow – Elbow Triangle

There is an angled triangle that has a base length = 12 cm and also has a height = 10 cm. find and calculate the area of the right triangle!

### Solution:

Is known :

a = 12 cm

h = 10 cm

Wanted: area =…?

### Answer:

L = ½ x a x t

L = ½ x 12 x 10

L = 60 cm2

So, the area of the right triangle is = 60 cm2

There is an object in the form of an angled triangle that has a base length = 20 cm and also has a height = 40 cm. find and calculate the area of the object!

### Solution:

Is known :

a = 20 cm

h = 40 cm

Wanted: area =…?

### Answer:

L = ½ x a x t

L = ½ x 20 x 40

L = 400 cm2

So, the area of the object is = 400 cm2

- There is an object in the form of an angled triangle that has a base length = 80 cm and also has a height = 60 cm. find and calculate the area of the object!

Solution:

Is known :

a = 80 cm

h = 60 cm

Wanted: area =…?

Answer:

L = ½ x a x t

L = ½ x 80 x 60

L = 2,400 cm2

So, the area of the object is = 2,400 cm2

There is an object in the form of an angled triangle that has a base length = 100 cm and also has a height = 75 cm. find and calculate the area of the object!

### Solution:

Is known :

a = 100 cm

h = 75 cm

Wanted: area =…?

### Answer:

L = ½ x a x t

L = ½ x 100 x 75

L = 3,750 cm2

So, the area of the object is = 3,750 cm2

## Sample of Special Right Triangle Worksheets

## Example of the Perimeter of a Right Triangle:

There is an angled triangle that has 3 sides, side 1 = 16 cm, side 2 = 16 cm, side 3 = 16 cm. find and calculate the perimeter of the right triangle!

### Solution:

Is known :

side 1 = 16 cm

Side 2 = 16 cm

Side 3 = 16 cm

Asked: circumference =….?

### Answer:

K = side 1 + side 2 + side 3

K = 16 + 16 + 16

K = 48 cm

So, the perimeter of the equilateral triangle is = 48 cm

The nature of having a cloth in the form of a triangular elbow and elbow has 3 sides, side 1 = 8 cm, side 2 = 20 cm, side 3 = 5 cm. find and calculate the perimeter of the cloth in the form of an angled triangle Solution:

Is known :

side 1 = 8 cm

Side 2 = 20 cm

Side 3 = 5 cm

Asked: circumference =….?

Answer:

K = side 1 + side 2 + side 3

K = 8 + 20 + 5

K = 33 cm

So, the circumference of the cloth in the form of an angled triangle is = 33 cm

There is an angled triangle that has 3 sides, side 1 = 85 cm, side 2 = 125 cm, side 3 = 90 cm. find and calculate the perimeter of the right triangle!

### Solution:

Is known :

side 1 = 5 cm

Side 2 = 125 cm

Side 3 = 90 cm

Asked: circumference =….?

### Answer:

K = side 1 + side 2 + side 3

K = 85 + 125 + 90

K = 300 cm

So, the perimeter of the equilateral triangle is = 300 cm