How much bigger is your screen?

Geometry Level 1

The dimension of a rectangular television screen is given as the diagonal length (in centimeters). What is the dimension of a rectangular television screen which has a length of 80 centimeters and a width of 60 centimeters?

120 90 100 110

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21 solutions

Utsav Singhal
Jul 21, 2013

To get the length of diagonal, we first add the square of the nos. and then take a square root of it. =80`2 + 60^2 =10000 Now take root of it . So it is 100

Zhen Xian Hew
Jul 21, 2013

c^2 = a^2+b^2 = sqrt[(80cm)^2+(60cm)^2] = sqrt(10000cm^2) = 100 cm

A.J Pradana
Jul 28, 2013

ex : x = dimension

x" = p" + q" x" = 60" + 80" x" = 3600 + 6400 x" = 10000 x = 100

The Great
Jul 27, 2013

Since the length of the a rectangular television screen is given as the diagonal length (in centimeters) of it, then it equal to square root of [(60 centimeters)^2+(80 centimeters)^2]=100 cen timeters.

Maiza Nabiela
Jul 27, 2013
  • l = 80cm, w = 60cm
  • use phytagorean theorem : c^2 = a^2 + b^2
  • let a=80, b=60
  • solve the equation by using the theorem and you will get the answer = 100
Affan Waheed
Jul 26, 2013

Simple just view the diagonal of a rectangle and you would come up with Pythagoras Theorem. Then substitute the values to get the answer 100.

Prince Raiyan
Jul 26, 2013

The diagonal of a rectangle divides it in two right triangles...

By Pythagorean theorem, we know that,

( H y p o t e n u s e ) 2 = ( L e g 1 ) 2 + ( L e g 2 ) 2 (Hypotenuse)^2 = (Leg_1)^2 + (Leg_2)^2

Here, in the rectangle, we can model the dimension as hypotenuse and the length of the two sides as the legs of a right triangle... Plugging in the values... We get,

( H y p o t e n u s e ) 2 = ( 80 c m ) 2 + ( 60 c m ) 2 = 6400 c m 2 + 3600 c m 2 = 10000 c m 2 (Hypotenuse)^2 = (80cm)^2 + (60cm)^2 = 6400 cm^2 + 3600 cm^2 = 10000 cm^2

H y p o t e n u s e = 10000 c m 2 = 100 c m Hypotenuse = \sqrt {10000cm^2} = 100 cm

Hence, the required dimension value is 100 \fbox {100} ...

Girija Lenka
Jul 26, 2013

root over [60^2]+[80^2]= root over [10000]=100

If we put a diagonal(length) on a rectangle, it forms 1-2 triangles then, By Pythagorean Theorem: a^2+b^2=c^2 ( ^ as exponent ) So, 80^2+60^2= c^2 80^2+60^2= 10,000 Then we will find the square root of 10,000 to know it's diagonal length or hypotenuse: √10,000 = 100

Henry Okafor
Jul 23, 2013

using Pythagoras theorem: dimension= sqr root((60^2)+(80^2))= sqr root (10000) = 100

Gilbert Chia
Jul 23, 2013

Take 80^2 cm + 60^2 cm and square root it. The answer you will get is square root 10000cm, which is 100 cm.

Let ABCD be the rectangular T.V. Let AB = 80cm , BC = 60cm and AC be the diagonal. By Pythagorean theorem , AC = (6400 + 3600)/100= 10000/100= 100cm

Alan Babu
Jul 23, 2013

a^2+ b^2 = c^2 6^2+8^2=36+64 100 =10^2

Moderator note:

I like how you are hinting at an approach which doesn’t require us to square such large numbers. Simplifying the initial algebra can help us avoid careless mistakes.

Triple phitaghoras 60,80,100

Matheus Pinto
Jul 22, 2013

Pelo teorema de Pitágoras: a^2=b^2+c^2 ; onde "a" é a hipotenusa e "b" e "c" são os catetos. Sendo assim: a^2=60^2+80^2
a^2=3600+6400 a^2=10000 a=100

Bem explicado, vlw!!!

tayla duarte - 7 years, 10 months ago

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Por nada.

Matheus Pinto - 7 years, 10 months ago
Saranya Kr
Jul 22, 2013

diagonal=square root of ((80^2)+(60^2))

Nelvson Shine
Jul 22, 2013

use the Pythagorean Theorem : a 2 + b 2 = c 2 a^{2} + b^{2} = c^{2}

8 0 2 + 6 0 2 = c 2 80^{2} + 60^{2} = c^{2}

6400 + 3600 = c 2 6400 + 3600 = c^{2}

10000 = c 2 10000 = c^{2}

c = c = 1000 \sqrt{1000}

c = 100 c = 100

Thus the answer is 100

Katharine Ng
Jul 22, 2013

80 * 80+60 * 60=10000 ,the square root of 10000 is 100

Ronald Salim
Jul 21, 2013

sqrt(60^2+80^2)=100

c 2 = a 2 + b 2 = 80 2 + 60 2 = 6400 + 3600 c 2 = 10000 c= square root of 10000 c = 100

Sarvesh Mayil
Jul 21, 2013

Pythagorean Theorem

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