Diagonal length rectangular prism

To find the length of the diagonal AB:

You would first use on the bottom of the box rectangle to find the diagonal CB =

Then use CB as of the triangle ACB, with AB being .

AB is approximate =

Word Bank:
3 cm
square root 7
a leg
89 cm
5 cm
13 cm
the perimeter formula for a rectangle
the Pythagorean Theorem
the area formula for a rectangle
the hypotenuse
73 cm

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1 answer

Blank 1: the Pythagorean Theorem
Blank 2: CB = square root(5^2 + 3^2) = square root(25 + 9) = square root(34) = approximately 5.83 cm
Blank 3: a leg
Blank 4: AB = square root(5^2 + 3^2 + 13^2) = square root(25 + 9 + 169) = square root(203) = approximately 14.24 cm
Blank 5: 14.24 cm