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A printer creates a right triangular card where the hypotenuse age is three times as long as the shorter leg what is the length of the longer leg L in terms of H write the answer in simplest form by replacing a B and C with the correct values

Answer :

The length of the longer leg L in terms of H based on the information about the triangular card will be l = 2✓2/3h.

How to illustrate the information?

From the information, the printer creates a right triangular card where the hypotenuse age is three times as long as the shorter leg.

The length of the longer leg L in terms of H based on the information about the triangular card will be:

a² + b² = c²

(h/3)² + l² = h²

l² = h² - h²/9

l = 2✓2/3h

Therefore, the length of the longer leg L in terms of H based on the information about the triangular card will be l = 2✓2/3h.

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