# How Size Of Tv Is Measured

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## Directions: Solve the following problems using the Pythagorean Theorem.1.) The

Ask: Directions: Solve the following problems using the Pythagorean Theorem.

1.) The size of a TV screen is given by the length of its diagonal. If the dimension of a tv screen is 16 inches by 12 inches what is the size of the tv screen?

2.) A 20 foot ladder is leaning against a vertical wall if the foot of the ladder is 8 feet from the wall how high does the ladder reach? Include an illustration in your solution.

3.) A rectangular sheet of paper measuring 9 inches by 12 inches is folded along its diagonal how long is the folded side?

4.) The legs of the right triangle measures 10cm is cm and 12 cm how long is is hypotenuse?

show solution po thanks in advance
gatinarong kog pangutana ayaw kog pilosopoha
salamat po​

1. [tex]c=sqrt{a^{2}+b^{2} }[/tex]

[tex]c=sqrt{16^{2}+12^{2} }[/tex]

[tex]c=sqrt{256+144 }[/tex]

[tex]c=sqrt{400 }[/tex]

[tex]c=20 in[/tex]

2. [tex]b=sqrt{c^{2} -a^{2} }[/tex]

[tex]b=sqrt{20^{2} -8^{2} }[/tex]

[tex]b=sqrt{400 -64 }[/tex]

[tex]b=sqrt{336 }[/tex]

[tex]b=18.3303027798 feet[/tex]

3. [tex]c=sqrt{a^{2}+b^{2} }[/tex]

[tex]c=sqrt{9^{2}+12^{2} }[/tex]

[tex]c=sqrt{81+144 }[/tex]

[tex]c=sqrt{225 }[/tex]

[tex]c=15 cm[/tex]

4. [tex]c=sqrt{a^{2}+b^{2} }[/tex]

[tex]c=sqrt{10^{2}+12^{2} }[/tex]

[tex]c=sqrt{100+144 }[/tex]

[tex]c=sqrt{244 }[/tex]

[tex]c=15.6204993518 cm[/tex]

Note: Just round off the answer to the decimal place you need.

## Learning Task #3 Direction: Solve the following problems 1. If

[tex] blue{ rule{1000pt}{10000pt}}[/tex]

## ____ 1. Which of the following is a proportion?a.14 :

Ask: ____ 1. Which of the following is a proportion?
a.14 : 7 = 4 : 2
B. 11 : 8 = 13 : 14
C. 6 : 3 = 3 : 4
D. none of these_____

2. The following are examples of proportion except
a.8 : 9 = 16 : 18
B. 6 : 7 = 7 : 8
C. 6 : 9 = 18 : 27
D. 22 : 11 = 4 : 2

3. What are the extremes?
a.8 & 9
b. 9 & 2
c. 8 & 3
d.. none of these_____

4. 4. In 8 : 9 = 2 : 3,_____
Find the product of the means.
a.6
B. 8
C. 16
D. 18

5. In the given proportion 8 : x = x : 9, what is x?
A.6
B. 8
C. 9
D. none of these_____

6. Give the value of x in x : 18 = 5 : 9.
A.18
B. 10
C. 9
D. none of these_____

7. What is the value of x in 8 : 4 = ( 3 + x ) ; x?
A.8
B. 4
C. 3
D. none of these_____

8. Solve the missing value of x to make the figures similar
12 8
.
x. 6
A.12
B.6
C. 8
D. 9

9. The angles of a triangle have measures in the ratio 1 : 2 : 3. What is the measure of the larger angle?
A. 30°
B. 60°
C. 90°
D. none of these_____

10. Two triangles are similar. The lengths of the sides of one triangle are 3, 5, and 8. What are the lengths of the two sides of the other triangle if the length of the longest side is 28?
A. &
B. &
C. &
D. none of these_____

11. Which set of numbers could be the lengths of the sides of a right triangle?
a.3, 3, 6
B. 9, 40, 49
C. 8, 12, 13
D. 6, 8, 10_____

12. In a right triangle, if the length of the hypotenuse and longer leg are 25 cm and 24 cm respectively, What is the length of the shorter leg?
A.9 cm
B. 8 cm
C. 7 cm
D. none of these_____

13. The side of a tv screen is given by the length of the diagonal. If the dimension of a tv screen is 16 inches by 14 inches, what is the size of the tv screen? in. B. in. C. in. D. 2 in.* 14 -15 Use the figure:_____

14. What is the value of x? 12 10
A.18
B. 20
C. 25
D. 30 _____

15. Give the value of Y. X y 15 B. C. 8 D. 10 20_____

16. In a 45° – 45° – 90° triangle, if the length of a leg is 12 cm, then the length of the hypotenuse is ________.
A.12 cm
B. 12 cm
C. 144 cm
D. none of these*

17 -18 Refer to the given figure: _____

17. How long is side a? 60°12 cm
A.6 cm
B. 8 cm
C. 10 cm
D. 12 cm a 30° _____

18. Find b. b 6 cm B. 6 cm C. 3 cm D. 6 cm

_____ 19. The corresponding sides of 2 similar triangles are 3 cm and 5 cm. If the perimeter of the smaller triangle is 18 cm, what is the perimeter of the other triangle?10 cm B. 20 cm C. 30 cm D. none of these_____

20. If the areas of two similar triangles are 124 sq. cm. and 225 sq. cm., find the ratio of the corresponding sides. : B. 2 : 31 C. 31 : D. 2 : 15​

1.b

2.d

3.a

4.c

5.a

6.b

7.b

8.a

9.b

10.d

11.a

12.a

13.c

14.c

15.c

16.b

17.c

18.

19.b

20.

## Directions: Solve the following problems using the Pythagorean Theorem.1.) The

Ask: Directions: Solve the following problems using the Pythagorean Theorem.

1.) The size of a TV screen is given by the length of its diagonal. If the dimension of a tv screen is 16 inches by 12 inches what is the size of the tv screen?

2.) A 20 foot ladder is leaning against a vertical wall if the foot of the ladder is 8 feet from the wall how high does the ladder reach? Include an illustration in your solution.

3.) A rectangular sheet of paper measuring 9 inches by 12 inches is folded along its diagonal how long is the folded side?

4.) The legs of the right triangle measures 10cm is cm and 12 cm how long is is hypotenuse?​

1) 20 inches

2) 421

3) 15 __

4) 261

## Learning Task #3 Direction: Solve the following problems 1. If

Ask: Learning Task #3 Direction: Solve the following problems 1. If the hypotenuse of a right triangle measures 25 meters while a legis 24 meters. what is the measure of the other lega 2. A tower casts a shadow 7 m long. A vertical stick casts a shadow 6 mlong. If the stick is 1.2 m high, how high is the towere 3. The length of the shadow of your 1.6-meter
height is 2.8 meters at a certain time inthe afternoon. How high is an electrical post in your back yard if the length of its shadow is 20 meters 4. The size of a TV screen is given by the length of its diagonal. If the dimension of a TV screen is 8 inches by 15 inches, what is the size of the TV screen? S. A 13-meter ladder is leaning against a vertical wall. If the foot of the lodder is 5 meters away from the wall. how high does the ladder reacha Direction: Answer each of the following accordingly. 1. Complete each statement. b. AC c. If BD = 3.DC = 4, and AB = 6. then AC = 2. Find the length x, y and z. 3. The figure describes a camera with digital sensor width xy that is 35 mm and with focal length 50 mm. What is the width of the scene АВ? hinntinn nf their personal assessment​
wag nyonh sagutan kung Hinde nyo alam.​

nasa suriin yung sagot basahin mo

## 1. If the hypotenuse of a right triangle measures 25

Ask: 1. If the hypotenuse of a right triangle measures 25 meters while a leg is 24
meters, what is the measure of the other leg?
2. A tower casts a shadow 7mn long. A vertical stick casts a shadow 0.6m long. If
the stick is 1.2m high, how high is the tower?
3. The length of the shadow of your 16-meter height is 2.8 meters at a certain
time in the afternoon. How high is an electrical post in your back yard if the
length of its shadow is 20 meters
4. The size of a TV screen is given by the length of its diagonal. If the dimension of
a TV screen is eight inches by 15 inches, what is the size of the TV screen
five meters away from the wall
, how high does the ladder reacha
5. A 13-meter ladder is ledning against a vertical wall. If the foot of the ladder is​