Directions: Determine whether a triangle with sides of the given lengths is a right triangle. Justify your answer and show all work receive full credit. 14,60 feet, 80 feet, 100 feet 15. 19 centimeters, 13 centimeters, 12 centimeters

Directions: Answer the following word problems by making a diagram and including units in your answer. Show all your work to receive full credit. 16. LADDER A 10-foot ladder is leaning against a house. The base of the ladder is 5 feet from the side of the house. At what height does the ladder touch the house? Round to the nearest tenth if necessary.

ROSES The Garden Club has a garden in the shape of a right triangl ne leg is 16 feet long and the hypotenuse is 20 feet long, how long is naining leg, along which the roses are planted? Round to the nearest h if necessary.

Directions: Determine whether a triangle with sides of the given lengths is a right triangle. Justify your answer and show all work receive full credit. 14.60 feet, 80 feet, 100 feet \( \quad \mathrm{C}^{2}=9^{2}+t^{2} \)

Analyze the equation. That is, find the center, vertices, and foci of the ellipse and graph it. \[ \frac{x^{2}}{49}+\frac{y^{2}}{4}=1 \]

Área: \( 3+3+6+6=18 \mathrm{~m} \) \( L+L+L+L \)