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ikadub [295]
4 years ago
9

A ceramic tile is in the shape of a triangle. The angle measurements of this triangle are 30 degrees, 60 degrees, and 90 degrees

. The leg across from the 30 degree angle is 6.25 cm long. How long is the hypotenuse of this triangle?
Mathematics
2 answers:
adell [148]4 years ago
7 0
Ratio of 30-60-90 triangles in terms of side lengths is 1-\sqrt{3} 
-2

So, the side across the 30-degree angle is 6.25.
Thus, the side across the 90-degree angle (hypotenuse) is 12.5.
adell [148]4 years ago
5 0
A 30 60 90 triangle is a special triangle that has simple proportions for it's side lengths. The short leg to long leg ratio is 1:sqrt(3); the short leg to hypotenuse ratio is 1:2. If the length of the short leg (across from the 30 degree angel) is 6.25 cm long, then the length of the hypotenuse is twice that: 12.5 cm.
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