Free Printable Triangle and it's properties

1.

To get from point A to point B you must avoid walking through a pond. To avoid the pond, you must walk 34 meters south and 41 meters east. To the nearest meter, how many meters would be saved if it were possible to walk through the pond?

a)

22

b)

58

c)

75

d)

35

2.

Find the value of "H"

a)

35.60

b)

61.03

c)

35.00

d)

35.71

3.

For the Pythagoras property to hold true the triangle must be

a)

Acute angled

b)

Right angled

c)

obtuse angled

d)

Can be of any kind (It doesn't matter)

4.

Choose the correct option for finding the hypotenuse of a triangle

a)

c-a=c

b)

$a^2+b^2=c$

c)

$a^2-b^2=c^2$

d)

$a^2+b^{2^{ }}=c^2$

5.

In a right angled triangle, the side opposite to the angle is called the _____________.

a)

Perpendicular

b)

Base

c)

Hypotenuse

d)

Height

e)

Median

6.

Find the measurement of

\angle ACD

a)

$115\degree$

b)

$65\degree$

c)

$125\degree$

d)

Cannot be determined

7.

In an isosceles triangle the measure of one angle is 80 degrees. The measurement of the other two angles can be-

a)

$45\degree and\ 50\degree$

b)

$35\degree and\ 65\degree$

c)

Cannot be determined

8.

The sides of a triangle have lengths 7, 3.5 and ‘a’, where ‘a’ is a whole number. So the value of ‘a’ cannot be-

a)

6

b)

4

c)

7

d)

11

9.

Will an altitude always lie in the interior of the triangle?(just write 'T' or 'F' in capital letters.)

(a)

10.

If the angles of a triangle are in the ratio 1 : 2 : 3, determine three angles.

a)

20,40,60

b)

15,30,45

c)

30,60,90

11.

The angles of a triangle are in the ratio 3 : 4 : 5. Find the smallest angle.

a)

5

b)

20

c)

43

d)

45

12.

Find $\angle BAC\ and\ \angle BCA$

a)

A-40 and C-85

b)

A-50 and C-75

c)

A-60 and C-65

d)

A-70 and C-55

13.

Which one of these line segments represent the median of the $\ \Delta$

a)

$\overline{AB}$

b)

$\overline{AC}$

c)

$\overline{AD}$

d)

$\overline{AL}$

14.

Find the value of $\angle X,\ \angle Y\ and\ \angle Z.$

a)

x- 90 y-50 z-40

b)

x-80 y-90 z-60

c)

x-80 y-110 z-80

d)

x-80 y-100 z-50

15.

Two angles of a triangle are equal and the third angle is greater than each of those angles by 30°. Determine all the angles of the triangle.

a)

30,30,60

b)

40,70,70

c)

50,50,80

d)

Cannot be determined

16.

Show that the sum of the angles in a triangle is always 180 degrees.(don’t write “=180”)

(a)

17.

Find the measure of the exterior $\angle X$

a)

$120\degree$

b)

$40\degree$

c)

$110\degree$

d)

$140\degree$

18.

Is it possible to have a triangle with the sides as 7,4,3?(just write yes or no)

(a)

19.

Is it possible to have a triangle with lengths 10.2 cm, 5.8 cm and 4.5 cm?(just write yes or no)

(a)

20.

The number of medians and altitude in me are of the same number. Who am I? (Select all correct questions)

a)

Equilateral triangle

b)

Equal sided triangle

c)

Scalene triangle

d)

Isosceles triangle

e)

There is no such triangle

Triangle and it's properties

Total questions: 20

Worksheet time: 19mins

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