Quiz about Special Right Triangles

Question 1

Which side is the long leg in this 30-60-90 triangle?

Accepted Answer

v

Answer

4

Answer

u

Question 2

Which side is the short leg of this 30-60-90 triangle?

Accepted Answer

n

Answer

6

Answer

m

Question 3

What type of special right triangle is this?

Accepted Answer

45-45-90

Answer

30-60-90

Answer

not a special right triangle

Question 4

Find the value of x.

Accepted Answer

10

Answer

7

Answer

8

Answer

9

Question 5

Find the value of x.

Accepted Answer

25

Answer

36

Answer

12

Answer

16

Question 6

Find the value of x.

Accepted Answer

17

Answer

15

Answer

16

Answer

18

Question 7

Does the set of numbers represent a Pythagorean Triple.
4, 5, 6

Accepted Answer

No

Answer

Yes

Question 8

Does the set of numbers represent a Pythagorean Triple.
10, 24, 26

Accepted Answer

Yes

Answer

No

Question 9

Does the set of numbers represent a Pythagorean Triple.
15, 20, 25

Accepted Answer

Yes

Answer

No

Question 10

The lengths of a triangle are given below. Is the the triangle obtuse, acute, or right?
4, 5, 6

Accepted Answer

acute

Answer

right

Answer

obtuse

Question 11

The lengths of a triangle are given below. Is the the triangle obtuse, acute, or right?
11, 12, 15

Accepted Answer

acute

Answer

right

Answer

obtuse

Question 12

Do the segment lengths 9, 12, and 15 form a right triangle?

Accepted Answer

Yes

Answer

No

Answer

Maybe

Answer

Pythagoras

Question 13

If 36 and 48 are the two smaller numbers in a Pythagorean Triple, what is the third number?

Accepted Answer

60

Answer

45

Answer

50

Answer

55

Question 14

Find the length of the missing side.

Accepted Answer

80 in.

Answer

20 in.

Answer

68 in.

Answer

16 in.

Question 15

Find the length of the missing side.

Accepted Answer

52 cm

Answer

25 cm

Answer

42 cm

Answer

48 cm

Question 16

The Pythagorean Theorem ONLY works on which triangle?

Accepted Answer

right

Answer

obtuse

Answer

scalene

Answer

isosceles

Question 17

solve for c

Accepted Answer

13

Answer

7

Answer

9

Answer

4

Question 18

The bottom of a 13-foot straight ladder is set into the ground 5 feet away from a wall. When the top of the ladder is leaned against the wall, what is the distance above the ground it will reach?

Accepted Answer

12 feet

Answer

13.9 feet

Question 19

In the Old West, settlers made tents out of a piece of cloth thrown over a clothesline and then secured it to the ground with stakes forming an isosceles triangle. How long would the cloth have to be so that the opening of the tent was 6 feet high and 8 feet wide?

Accepted Answer

14.4 feet

Answer

7.2 feet

Answer

10 feet

Answer

20 feet

Question 20

A baseball "diamond" is actually a square with sides of 90 feet. If a runner tries to steal second base, how far must the catcher, at home plate, throw to get the runner "out"? (Distance across the diagonal)

Accepted Answer

127.3 feet

Answer

180 feet

Answer

90 feet

Answer

13.4 feet

Question 21

Your family wants to purchase a new laptop with a 17" widescreen. Since the 17 inches represents the diagonal measurement of the screen (upper corner to lower corner), you want to find out the actual dimensions of the laptop. When you measured the laptop at the store, the height was 10 inches, but you don't remember the width. Calculate the width of the laptop to the nearest tenth of an inch.

Accepted Answer

13.7 inches

Answer

7 inches

Answer

10 inches

Answer

19.7 inches

Question 22

During a football play, Odell Beckham Jr. runs a straight route 40 yards up the sideline before turning around and catching a pass thrown by Eli Manning. On the opposing team, a defender who started 20 yards across the field from Beckham saw the play setup and ran a slant towards Beckham. What was the distance the defender had to run to get to the spot where Beckham caught the ball?

Accepted Answer

44.7 yards

Answer

34.6 yards

Answer

60 yards

Answer

40 yards

Question 23

A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the other corner diagonally across the field. How far do the players run?

Accepted Answer

150 meters

Answer

105 meters

Answer

79.4 meters

Answer

210 meters

Question 24

How far from the base of a house do you need to place a 15' ladder so that is exactly reaches the top of a 12' wall?

Accepted Answer

9 feet

Answer

19.2 feet

Answer

81 feet

Answer

369 feet

Question 25

Jill's front door is 42" wide and 84" tall. She purchased a circular table that is 96 inches in diameter. Will the table fit through the front door?

Accepted Answer

No

Answer

Yes

Question 26

Lisa drives her car 46 km south and then 13 km east. How far is she from her starting point?

Accepted Answer

47.8 km

Answer

44.1 km

Answer

59 km

Answer

33 km

Question 27

Town A is 90 miles from Town B, and 18 miles from Town C. Town A, B, and C are forming a right triangle at A. A road connects towns B and C directly. Find the length of this road.

Accepted Answer

91.8 miles

Answer

108 miles

Answer

88.2 miles

Answer

72 miles

Question 28

Find the area of the missing square off of leg A if the area of one square is 369 and the area of another is 81?

Accepted Answer

288

Answer

21.2

Answer

17

Answer

450

Question 29

The three sides of triangle XYZ measure 13 meters, 17 meters, and 21 meters. Is triangle XYZ an acute, right, or obtuse triangle?

Accepted Answer

Acute

Answer

Not a triangle

Answer

Obtuse

Answer

Right

Question 30

The three sides of triangle DEF measure 10 meters, 7 meters, and 17 meters. Is triangle DEF an acute, right, or obtuse triangle?

Accepted Answer

Not a triangle

Answer

Acute

Answer

Obtuse

Answer

Right

Question 31

Find the measure of DG.

Accepted Answer

14

Answer

28

Answer

12

Answer

16

Question 32

Find the value of x.

Accepted Answer

3

Answer

35

Answer

33

Answer

None of these

Question 33

Find the value of x.

Accepted Answer

28

Answer

23

Answer

30

Answer

Cannot be determined

Question 34

Find the measure of the x (midsegment):

Accepted Answer

15

Answer

25

Answer

9

Answer

12

Special Right Triangles

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