Find three fractions larger than 2 and less than 3 .

Get the approximate value of 2 and 3 2 = 1 . 414 , 3 = 1 . 732 Three numbers in between them are 1 . 5 , 1 . 6 , 1 . 7 . Now, convert them to fractions, 1 . 5 = 15 10 = 3 2 1 . 6 = 16 10 = 8 5 1 . 7 = 17 10 Three fractions larger than 2 and less than 3 are 3 2 , 8 5 , 17 10 .

The hypotenuse of a right triangle is 1 1 2 metres and another side is 1 2 metre. Calculate its perimeter correct to a centimetre.

Given, hypotenuse = 1 1 2 m = 3 2 m and another side = 1 2 m Let the third side be x m Using the Pythagoras theorem, we get x 2 + 1 2 2 = 3 2 2 ⇒ x 2 = 9 4 - 1 4 = 8 4 = 2 ⇒ x = 2 m Perimeter of a triangle = Sum of it's three sides = 3 2 + 1 2 + 1 . 41 = 3 . 41 m = 3 . 41 × 100 cm = 341 cm

What is the hypotenuse of a right triangle with perpendicular sides 2 centimetres and 3 centimetres? How much more is the sum of the perpendicular sides than the hypotenuse?

Perpendicular sides of a right triangle are 2 cm and 3 cm We need to find the hypotenuse of a right triangle Using Pythagoras theorem, Hypotenuse 2 = 2 2 + 3 2 Hypotenuse 2 = 5 Hypotenuse = 5 cm Sum of the perpendicular sides = 2 + 3 cm Difference between the perpendicular sides and hypotenuse = 5 - 2 + 3 cm

E M B I B E

Standard 9th Mathematics Part - 1>Chapter 2 - NEW NUMBERS>Exercise 1>Q 2

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What is the area of the square in the picture? What is the length of its sides?

Important Questions on NEW NUMBERS

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Standard 9th Mathematics Part - 1>Chapter 2 - NEW NUMBERS>Exercise 1>Q 4

Find three fractions larger than $\sqrt{2}$ and less than $\sqrt{3}$ .

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IMPORTANT

Standard 9th Mathematics Part - 1>Chapter 2 - NEW NUMBERS>Exercise 2>Q 1

The hypotenuse of a right triangle is $1 \frac{1}{2}$ metres and another side is $\frac{1}{2}$ metre. Calculate its perimeter correct to a centimetre.

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Standard 9th Mathematics Part - 1>Chapter 2 - NEW NUMBERS>Exercise 2>Q 4

What is the hypotenuse of a right triangle with perpendicular sides