Asked by Jared
A square is 7 meters on a side. To the nearest tenth of a meter, how long is the diagonal of the square?
A: 9.8
B: 9.9
C: 10.0
D: 14.0
A: 9.8
B: 9.9
C: 10.0
D: 14.0
Answers
Answered by
Helper
The diagonal of a square forms two
45-45-90 triangles.
The sides of a 45-45-90 triangle are in the ratio,
a : b : hypotenuse
x : x : x(sqrt(2))
The diagonal is the hypotenuse of this 45-45-90 triangle.
Side = 7
7 * (sqrt(2)) = ?
45-45-90 triangles.
The sides of a 45-45-90 triangle are in the ratio,
a : b : hypotenuse
x : x : x(sqrt(2))
The diagonal is the hypotenuse of this 45-45-90 triangle.
Side = 7
7 * (sqrt(2)) = ?
Answered by
Ms. Sue
a^2 + b^2 = c^2
7^2 + 7^2 = c^2
49 + 49 = 98
c = square root of 98
Be sure to round to the nearest tenth.
7^2 + 7^2 = c^2
49 + 49 = 98
c = square root of 98
Be sure to round to the nearest tenth.
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