Part 1) Find the length of the squares diagonal using two methods: Thee Pythagorean and the special right triangle theorem for 45-45-90 triangles.
Part 2) Find the area of the square and double it.

Question

Part 1) Find the length of the squares diagonal using two methods: Thee Pythagorean and the special right triangle theorem for 45-45-90 triangles. 
Part 2) Find the area of the square and double it.

anonymous · Answer

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anikhalder · Answer

Do you know the Pythagorean theorem?

anonymous · Answer

yes

anikhalder · Answer

:) cheers..would you mind writing it for me?

anonymous · Answer

$$a ^{2}+ b ^{2}=c ^{2}$$

anikhalder · Answer

Okay..Now can you please tell me what will be the length of the other sides of the square..we have been given with one side(15 m)..what will be the length of the other sides then? say..what will be the length of the upper side(horizontal)?

anonymous · Answer

15?

anikhalder · Answer

indeed!

anikhalder · Answer

so in the upper right angled triangle we have 2 sides 
a=15m (the upper side)
b=15m (the side on the left)
c=?
How do we find out c then?

anonymous · Answer

The Pythagorean and Theorem, so c= 21.21?

anikhalder · Answer

:) you got it.

anikhalder · Answer

well c (in the figure represented as d) is the hypotenuse of the triangle and in the figure also the diagonal of the square...:)

anonymous · Answer

im confused...

anikhalder · Answer

c that you found out as 21.21 is not only the hypotenuse of the upper triangle but ALSO the diagonal of the square

anonymous · Answer

so do you multiply 15 by 21.21?

anikhalder · Answer

oh..no no ..not at all...i was just specifying what 'c' is.
To find out area of the square what do we do?

anonymous · Answer

multiply base times height or something, so 15 *15 and the multiply it by 2 two double it?

anikhalder · Answer

of course..you are a gem..you figured it out all by yourself..cheers!

anonymous · Answer

thank you so much for your help :)

anikhalder · Answer

pleasure's mine..:)