Pythagoras Property

Q.

Write $5$ application of Pythagoras theorem in real life.

Q.

Write two Pythagorean triplets each having one of the numbers as $5$.

Q.

What is a Pythagorean triplet? Write three Pythagorean triplets.

Q. Check weather themset of numbers from a PYTHAGOREAN TRIPLETS or not
a)( 7, 24, 25)
b)(40, 42, 58)

Q. Check if 5, 12, and 14 form a Pythagorean triplet.

Q.

In a right angled triangle, which of the following is true? [$h=$ hypotenuse, $a$ and $b$ are the perpendicular sides]

1. $h^2=a^2+b^2$

2. $h^2+b^2=3a^2$

3. $h=a+b$

4. $h^3=3(a^3+b^3)$

Q.

Explain pythogras triplets with an example

Q. In a right angled triangle, which of the following is true? (h=hypotenuse, a and b are the perpendicular sides)

1. $h^2+b^2=3a^2$
2. $h^3=3(a^3+b^3)$
3. $h^2=a^2+b^2$
4. h = a+b

Q.

Write the Pythagorean triplet if one number is $14$?

Q.

In a right-angled triangle, which of the following is true? (h=hypotenuse, a and b are the perpendicular sides)

1. h = a+b

2. $h^2=a^2+b^2$

3. $h^2+b^2=3a^2$

4. $h^3=3(a^3+b^3)$

Q.

Question 2
ABC is a triangle, right angled at C. If AB = 25 cm and AC = 7 cm, find BC.

Q. If 6, 8, and c form a Pythagorean triplet with 6 being the smallest number, find the value of c.

Q.

Pythagorean triplets are defined as the numbers in which the following relation holds true:

The sum of the squares of any two numbers is equal to the square of the third number. (
State true or false.

1. False

2. True

Q. What is pythagoros triplets? Explain

Q.

In the given right-angled triangle, if AB = 3 cm, BC = 4 cm, then the length of AC is

___cm.

Q. If n is an odd no. And n1 thenprove that (n.n2-1/2.n2+1/2) is a pythogoream tripleto. write two phythgoream triplet by substituting value ofn

Q. If n is an odd no. And n1 thenprove that (n, n2-1/2, n2+1/2) is a pythogoream triplet write twophythgoream triplet by substituting value of

Q.

Which of these set of lengths are not the side lengths of a right triangle: $(36,77,85),(20,99,101),(27,120,123)$ and $(24,33,42)$?

Q. In a right angled triangle, which of the following is true? (h=hypotenuse, a and b are the perpendicular sides)

1. $h^2=a^2+b^2$
2. $h^3=3(a^3+b^3)$
3. h = a+b
4. $h^2+b^2=3a^2$

Q.

Question 2
ABC is a triangle, right angled at C. If AB = 25 cm and AC = 7 cm, find BC.

Q.

In the given right-angled triangle, if AB = 3 cm, BC = 4 cm, then the value of AC (in cm) is

___

Q.

In a triangle, the length of the side opposite to the larger angle will be greater than the length of side opposite to smaller angle. Is this statement true or false?

1. False

2. True

Q.

If a $△$QPR is right angled at P, then what is the longest side of the triangle?

1. Can't be determined.

2. PQ

3. QR

4. PR

Q. In a right angled triangle, two sides are 9 cm and 12 cm. Then, the hypotenuse will be:

1. 10 cm
2. 15 cm
3. 14 cm
4. 13 cm

Q.

Pythagorean triplets are defined as the numbers in which the following relation holds true:

The sum of the squares of any two numbers is equal to the square of the third number. (True/False)

1. True

2. False

Q.

Pythagoras' theorem holds good for right angled triangles.

1. True

2. False

Q. Out of the following triplets, which triplet does not make a right angled triangle ?

1. 7, 24, 25
2. 5, 6, 7
3. 3, 4, 5
4. 8, 15, 17

Q.

The square of the hypotenuse is equal to the sum of the squares of the other two sides. This relation holds for all types of triangles.

1. True

2. False

Q. In a right angled triangle, which of the following is true? (h=hypotenuse, a and b are the perpendicular sides)

1. $h^2=a^2+b^2$
2. $h^2+b^2=3a^2$
3. $h^3=3(a^3+b^3)$
4. h = a+b

Q.

5cm, 12cm can be two sides of a right-angled triangle.

1. True

2. False