Suppose someone constructs a shell so that each new "shell leg" is 1 centimeter long and forms a right triangle. The measurements of the original shell are shown. Find the lengths of W, X, Y, and Z. Assume that the angle formed by the new leg and hypotenuse of the prior triangle form a right angle.

Give your answers as square roots and decimals. Describe the pattern of measurements created from this Right Triangle Shell.

Question

Suppose someone constructs a shell so that each new "shell leg" is 1 centimeter long and forms a right triangle. The measurements of the original shell are shown. Find the lengths of W, X, Y, and Z. Assume that the angle formed by the new leg and hypotenuse of the prior triangle form a right angle.

Give your answers as square roots and decimals. Describe the pattern of measurements created from this Right Triangle Shell.

anonymous · Answer

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phi · Answer

Did you try to use Pythagoras to find W ?

a^2 + b^2 = c^2
where a and b are the legs, and c is the longest side (the hypotenuse  )

anonymous · Answer

the Pythagorean therom confuses me on some questions

phi · Answer

first step:  find the length of the "legs"   
you have
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