Question

Find the length of the unknown leg of the right triangle. Use pencil and paper.

Draw the triangle on graph paper and measure to verify the answer.

Answer 1

Explanation:

• Perpendicular=p=2.75
• Hypotenuse=h=15.25

we know that

`\boxed{ \sf \: h {}^(2) = {p}^(2) + {b}^(2) } \\ \rm \mapsto \: {(15.25)}^(2) = {(2.75)}^(2) + {b}^(2) \\ \rm \mapsto \: {b} {}^(2) = {(15.75)}^(2) - {(2.75)}^(2) \\ \rm \mapsto \: b = \sqrt{ {(15.25)}^(2) - {(2.75)}^(2) } \\ \rm \mapsto \: b = √(232.5 - 7.5) \\ \rm \mapsto \: b = √(225.5) = 15.07=15(approx)`

Answer 2

• 15

Explanation:

Use Pythagorean:

• x² + 2.75² = 15.25²
• x² = 15.25² - 2.75²
• x² = 225
• x = √225
• x = 15