Question

Could somebody help me I don't understand any of this. Could someone show me or tell me how to work the problems?

1. Find the length of the hypotenuse of a right triangle with the legs of 9cm and 12cm
A.8
B.21
C.15
D.225
2.The length of a hypotenuse of a right triangle is 13cm. The length of one leg is 5cm. Find the length of the other leg.
A.14
B.144
C.8
D.12
3.Which of the triangles decribed in the table are a right triangle?
Triangle | Side 1 | Side 2 | Side3 |
Q | 25 | 20 | 15 |
R | 26 | 20 | 14 |
S | 25 | 20 | 1026 |
T | 25 | 26 | 650 |
Answer choices:
A. (Q)
B. (R)
C.(S)
D.(T)
4.Point E is located at point (-2, 2) and point F is located at (4, -6). What is the distance between point E to F?
A.52 squared
B.28 squared
C.10
D.20 squared

Answer 1

idk how to tag so maybe this might tag Ms. Sue here.

Answer 2

1. a^2 +b^2 = c^2

9^2 + 12^2 = c^2

81 + 144 = c^2

225 = c^2

sqrt(225) = sqrt (c^2)


c = 15


2. 5^2 +b^2 = 13^2

25 + b^2 = 169

25-25 + b^2 = 169-25

b^2 = 144

b= 12

3. Q
15^2 +20^2 = c^2

225 +400 =c^2

625 = c^2

c = 25

4. Sqrt (4-(-2)^2 + (-6-2)^2))
Sqrt (36 + 64)

= 10

Answer 3

1.

Pythagorean theorem

c = sqrt ( a ^ 2 + b ^ 2 )

c = sqrt ( 9 ^ 2 + 12 ^ 2 )

c = sqrt ( 81 + 144 )

c = sqrt ( 225 )

c = 15

Answer C


2.

Pythagorean theorem

b = sqrt ( c ^ 2 - a ^ 2 )

b = sqrt ( 13 ^ 2 - 5 ^ 2 )

b = sqrt ( 169 - 25 )

b = sqrt ( 144 )

b = 12

Answer D


3.

Pythagorean theorem

c = sqrt ( a ^ 2 + b ^ 2 )

Answer A

becouse :

c = sqrt ( 20 ^ 2 + 15 ^ 2 )

c = sqrt ( 400 + 225 )

c = sqrt ( 625 )

c = 25


4.

The Distance Formula :

d = sqrt [ ( x2 - x1 ) ^ 2 + ( y2 - y1 ) ^ 2 ]

In this case :

x1 = - 2

x2 = 4

y1 = 2

y2 = - 6

d = sqrt [ ( 4 - ( - 2 ) ) ^ 2 + (- 6 - 2 ) ^ 2 ]

d = sqrt [ ( 4 + 2 ) ^ 2 + ( - 8 ) ^ 2 ]

d = sqrt [ 6 ^ 2 + ( - 8 ) ^ 2 ]

d = sqrt ( 36 + 64 )

d = sqrt ( 100 )

d = 10

Answer C

Answer 4

bob, You need to study the Pythagorean theorem.

Answer 5

There is no "tagging" or "hashtagging" on Jiskha, thank goodness!!

And you should watch the time. You posted at 2:23 am!! ~ This website is set for Eastern (US) time, and most of the tutors are in either Eastern or Central time zones.

Answer 6

1. C
2. D
3. A
4. C
5. B
6. A
7. A
8. B
9. Workpad

Answer 7

Hal is correct!!!! TY

Answer 8

HAL TYSM

Answer 9

Number 9 is wrong dont trust him or you will moss out on points but the rest are right

Answer 10

He is just putting workpad meaning that you will have to do it yourself. You should know that already.

Answer 11

he was saying that because some classes have a essay question others have a abcd question

Answer 12

yoOOO hal is right :D

Answer 13

Hal is right

Answer 14

thx Hal