Question

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

Answer 1

Answer:

• 15

Step-by-step explanation:

Use Pythagorean:

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

Answer 2

Step-by-step explanation:

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

we know that

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