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ZhangYan

  • 2 years ago

Ingrid is making a quilt using squares that measure 5 in. on a side. What is the length of a diagonal of one of the quilt squares? Round to the nearest tenth. 8.7 in. 7.1 in. 3.5 in. 14.2 in.

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  1. sasogeek
    • 2 years ago
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    have you done Pythagoras' theorem?

  2. ZhangYan
    • 2 years ago
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    no

  3. sasogeek
    • 2 years ago
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    ok so we know that the quilt is being made using squares... which measure 5in on each side... basically one square will look like this |dw:1336502631039:dw| do you agree?

  4. ZhangYan
    • 2 years ago
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    yes

  5. sasogeek
    • 2 years ago
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    ok good, after drawing a diagonal, we'll have this |dw:1336502741454:dw| we'll have two right angled triangles... right?

  6. ZhangYan
    • 2 years ago
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    yes

  7. sasogeek
    • 2 years ago
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    ok good, according to pythagoras, if we have a right angled triangle, this formula holds \(\huge a^2=b^2+c^2 \) |dw:1336503014472:dw| my "C" is little but u can see it :) are we okay so far?

  8. ZhangYan
    • 2 years ago
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    yeah

  9. sasogeek
    • 2 years ago
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    ok good, we are going to apply this to the question. we know that each side of the square is 5in, hence, |dw:1336503197307:dw| now looking at this, we know what "b" and "c" are, they're both 5, so we have to solve for "a" ....

  10. sasogeek
    • 2 years ago
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    what is a? |dw:1336503379725:dw|

  11. ZhangYan
    • 2 years ago
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    7.1

  12. sasogeek
    • 2 years ago
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    good job :)

  13. ZhangYan
    • 2 years ago
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    thanks for your help this informations is really helps to me :)

  14. sasogeek
    • 2 years ago
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    anytime Zoe :D

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