Question

a boat has a sail that is shaped like a right triangle. how much longer will the longest side of the sail in figure b be compared to figure a? round your answers to the nearest tenth, if needed. figure a has a right triangle with legs 9.1 cm and 11.3 cm. figure b has a right triangle with legs 10 cm and 12 cm. the longest side of the sail in figure a is \boxed{} cm. the longest side of the sail in figure b is \boxed{} cm. the longest side of the sail in figure b is \boxed{} cm longer than the longest side of the sail in figure a.

Explanation:

Step1: Calculate hypotenuse of Figure A

Use Pythagorean theorem: $c = \sqrt{a^2 + b^2}$
$\sqrt{9.1^2 + 11.3^2} = \sqrt{82.81 + 127.69} = \sqrt{210.5} \approx 14.5$

Step2: Calculate hypotenuse of Figure B

Use Pythagorean theorem: $c = \sqrt{a^2 + b^2}$
$\sqrt{10^2 + 12^2} = \sqrt{100 + 144} = \sqrt{244} \approx 15.6$

Step3: Find the length difference

Subtract Figure A's hypotenuse from Figure B's
$15.6 - 14.5 = 1.1$

Answer:

The longest side of the sail in Figure A is 14.5 cm.
The longest side of the sail in Figure B is 15.6 cm.
The longest side of the sail in Figure B is 1.1 cm longer than the longest side of the sail in Figure A.