What is the length of the diagonal of a square with side lengths 7 square root of 2 ? round to the nearest tenth if necessary?

Question

20-03-2018
Mathematics

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What is the length of the diagonal of a square with side lengths 7 square root of 2 ? round to the nearest tenth if necessary?

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Аноним Аноним · Answer 1 · 2018-03-20T09:51:01+01:00

There is 2 ways to solve this type of question.

Method 1
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Formula
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a² + b² = c²

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Apply the formula
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(7√2)² + (7√2)² = c²
c² = 98 + 98
c² = 196
c = √196
c = 14

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Ans: The diagonal length is 14cm
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Method 2
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Identify the triangle
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This is a special triangle
45° - 45° - 90°

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Property of the Angles
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x - x - x√2

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Find hypotenuse
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Given that the non-hypotenuse is 7√2

Hypotenuse = (7√2)(√2)
Hypotenuse = 7 x 2
Hypotenuse = = 14cm

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Ans: The diagonal length is 14cm
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