Question

CAN SOME ONE HELP ME WITH THESE 8 POTHAGORY THEOREM QUESTIONS

Answer 1

In △DEF, what is the length of line segment DF?

90

45radical 2

15radical 3

30radical 3

Answer 2

In △RST, what is the length of line segment RT?

18

72

36radical 3

36radical 2

Answer 3

In △JKL, what is the length of line segment KL


33radical 3

66

33radical 2

16.5

Answer 4

A ladder leans against a house at a 60° angle to the ground.

If the ladder extends to a length of 166 inches, what is the height of the house rounded to the nearest hundredth of an inch?

Answer 5

(1) In a 30-60-90 triangle, the short leg is the long leg divided by sqrt 3. So the short leg is 45/sqrt 3. Furthermore, the hypotenuse is twice the short leg or 90/sqrt3. When you simplify that you get 30sqrt3

Answer 6

There are many ropes keeping a hot air balloon from floating away before a balloon race. One of these ropes is fixed to the ground at a 45° angle. Another is fixed to the ground at a 30° angle

If the hot air balloon is 18 feet off the ground, what is the distance between the ground directly underneath the balloon and the second rope rounded to the nearest hundredth of a foot?

Answer 7

(2) In a 45-45-90 triangle, the hypotenuse is the leg times sqrt2 so 36sqrt2 is the answer.

Answer 8

(3) Another 30-60-90 . Long leg is short leg times sqrt3 so 33sqrt3

Answer 9

n the figure below, the length of line segment GE is 97radical 3 units and the length of line segment BG is 149 units. What is the length of line segment AC?

52radical 3

97

52radical 2

194

Answer 10

Same thing. Short leg is 1/2 hypotenuse or 83. Long leg is 83sqrt3

Answer 11

A toddler's playground has two slides on either side. The slide on the left is situated at a 45° angle to the ground and is 68 centimeters away from the base of the playground. The slide on the right is positioned at a 30° angle to the ground and is 112 centimeters away from the playground's base.


What is the total length of both slides on this playground rounded to the nearest tenth of a centimeter?

Answer 12

What kind of triangle is it on the left?

Answer 13

In △PQR, what is the length of line segment QR?

22radical 3

11

11radical 2

22radical 2

Answer 14

What happened to the slide problem? What kind of triangle is on the left?

Answer 15

number four is the house one correct/

Answer 16

RIGHT TRIANGLE OR A 45-45-90 TRIANGLE

Answer 17

How do you find the hypotenuse in a 45-45-90 triangle?

Answer 18

MULTIPLY IT BY DA SQUARE ROOT OF 2

Answer 19

So that is the length of the slide on the left. Now find the length of the slide on the right.

Answer 20

for the house one - this is a 30-60-90 triangle, so the sides look like this:
so what you need to do is set the length of the hypotenuse equal to 2x, solve for x, and then multply it by square root of two