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Pythagoras' Theorem

Total questions: 15

Worksheet time: 14mins

Name
Class
Date
1.

Which triangle has a hypotenuse?

a)

Scalene

b)

Right-angled

c)

Isosceles

d)

Equilateral

2.
What is the formula used to solve for the hypotenuse?
a)
a2+b2=c2
b)
a+b=c
c)
a2-b2=c2
d)
c-a=c
3.
Find x.
a)
35
b)
20
c)
8
d)
12
4.

The hypotenuse is always.............

a)

The right angle side

b)

The shortest side

c)

The longest side

d)

On the outside

5.

What is the relation between the three sides of the right-angled triangle in the figure?

a)

x2+y2=z2x^2+y^2=z^2

b)

x2+z2=y2x^2+z^2=y^2

c)

y2+z2=x2y^2+z^2=x^2

d)

x+z=yx+z=y

6.

Given the 3 lengths of a triangle are 6 in, 8 in and 10 in. Will this make a right triangle?

a)

Yes

b)

No

7.

If a right triangle has side lengths 6, 6.7 and 3, which side is the hypotenuse?

a)

6

b)

6.7

c)

3

d)

None

8.

Which of the following are not right angled triangled triangle?

a)

3cm , 4cm , 5cm

b)

18cm, 34cm, 30cm

c)

15cm, 8cm, 17cm

d)

37cm, 35cm, 48cm

9.

Which set of sides would make a right triangle?

a)

4,5,6

b)

8,10,12

c)

5,12,13

d)

5,10,12

10.

The opposite to angle 'b' is

a)

3

b)

4

c)

5

d)

a

11.
What is the length of x?
a)
5.7
b)
10.6
c)
20
d)
400
12.

Which of the following is a right-angled

triangle?

a)
b)
c)
d)
13.

 256\sqrt{256}  

a)

16

b)

-16

c)

16 or -16

14.

The hypotenuse in this image is

a)

a

b)

b

c)

c

15.
What is the length of the side adjacent to ∠Z?
a)
16
b)
30
c)
34