FINDING THE MISSING SIDES OF A RIGHT TRIANGLE

The closed shape which is created by three sides is called triangle. In a triangle, one of the angle measure will be 90 degree. 

In every right triangle, there must be a hypotenuse. The side which is opposite to 90 degree is called hypotenuse.

The longest side will be hypotenuse for every right triangle. Every right triangle will satisfy the "Pythagorean theorem"

c² = a² + b²

Find the measure of missing side in the following tri  angles given below.

Problem 1 :

Solution :

By observing the figure,

Hypotenuse = AB

 AB² = AC² + BC²

13² = 12² + BC²

169 - 144 = BC²

BC² =  25

BC = √25

BC = 5

So, the missing side BC is 5.

Problem 2 :

Solution :

By observing the figure,

Hypotenuse = AB

 AB² = AC² + BC²

AB² = 13² + 4²

AB² = 169 + 16

AB² =  175

AB = √175

AB = 13.60

So, the missing side AB is 13.60.

Problem 3 :

Solution :

By observing the figure,

Hypotenuse = AB

 BC² + AC² = AB²

BC² + 6² = 9²

BC² + 36 = 81

BC² =  81 - 36

BC² = 45

BC = √45

BC = 6.71

So, the missing side BC is 6.71.

Problem 4 :

Solution :

By observing the figure,

Hypotenuse = AB

 BC² + AC² = AB²

11.9² + 10² = AB²

141.61 + 100 = AB²

AB² =  241.61

AB = √241.61

AB = 15.54

So, the missing side AB is 15.54.

Problem 5 :

Solution :

By observing the figure,

Hypotenuse = AB

 AB² = AC² + BC²

AB² = (7.7)² + (14)²

AB² = 59.29 + 196

AB² =  255.29

AB = √255.29

AB = 15.98

So, the missing side AB is 15.98.

Problem 6 :

Solution :

By observing the figure,

Hypotenuse = AB

AB² = AC² + BC²

5² = AC² + 4²

25 = AC² + 16

AC² = 25 - 16

AC² = 9

AC = √9

AC = 3

So, the missing side AC is 3.

Problem 7 :

Solution :

By observing the figure,

Hypotenuse = AB

 AB² = AC² + BC²

11² = AC² + (4.4)²

121 = AC² + 19.36

AC² = 121 - 19.36

AC² = 101.64

AC = √101.64

AC = 10.08

So, the missing side AC is 10.08.

Problem 8 :

Solution :

By observing the figure,

Hypotenuse = AB

 AB² = AC² + BC²

AB² = 3² + 3²

AB² = 9 + 9

AB² = 18

AB = √18

AB = 4.24

So, the missing side AB is 4.24.