Question

One leg of a right triangle has a measure of 19 units. The hypotenuse has a measure of 7085 square root units. Determine the length, in units, of the other leg. Show you work for partial credit

Answer 1

Answer:

• The other leg is 82 units

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Given:

• a = 19,
• c = $\sqrt{7085}$,
• b = ?

Find the missing leg, using Pythagorean:

• a² + b² = c²
• 19² + b² = 7085
• 361 + b² = 7085
• b² = 7085 - 361
• b² = 6724
• b = $\sqrt{6724}$
• b = 82