FIND THE MISSING SIDE OF A RIGHT TRIANGLE

The square of hypotenuse is equal to sum of squares of other two sides.

c² = a² + b²

Find the values of the unknowns in the following triangles :

Problem 1 :

Solution :

Using Pythagorean theorem.

x² = 6² + 8²

x² = 36 + 64

x² = 100

x = 10

So, the unknown value is 10.

Problem 2 :

Solution :

(25)² = (15)² + x²

625 = 225 + x²

625 – 225 = x²

400 = x²

20 = x

So, the unknown value is 20.

Problem 3 :

Solution :

(30)² = (18)² + x²

900 = 324 + x²

900 – 324 = x²

576 = x²

24 = x

So, the unknown value is 24.

Problem 4 :

Solution :

x² = 2² + (1.5)²

x² = 4 + 2.25

x² = 6.25

x = 2.5

So, the unknown value is 2.5.

Problem 5 :

Solution :

x² = 2² + 2²

x² = 4 + 4

x² = 8

x = 2.828

So, the unknown value is 2.828.

Problem 6 :

Solution :

x² = 3² + 3²

x² = 9 + 9

x² = 81

x = 9

So, the unknown value is 9`.

Problem 7 :

Solution :

By observing the figure.

Using Pythagorean theorem.

x² = (10)² + (10)²

x² = 100 + 100

x² = 200

x = 14.14

So, the unknown value is 14.14.

Problem 8 :

Solution :

x² = (√2)² + (√2)²

x² = 2 + 2

x² = 4

x = 2

So, the unknown value is 2.