Question

find the length of the hypotenuse of the right triangle drawn on the coordinate plane. count the legs by counting blocks on the coordinate plane. the coordinates are given to you to show you where they are on the coordinate plane, but you do not need them for this question. round your answer to the nearest tenth of a unit, if necessary. (one place after the decimal). the coordinate points are (-5, 2), (3, 2), (3, -3).

Explanation:

Step1: Count horizontal leg length

Count blocks between $(-5,2)$ and $(3,2)$: $3 - (-5) = 8$

Step2: Count vertical leg length

Count blocks between $(3,2)$ and $(3,-3)$: $2 - (-3) = 5$

Step3: Apply Pythagorean theorem

$$c = \sqrt{a^2 + b^2} = \sqrt{8^2 + 5^2}$$

Step4: Calculate and round result

$\sqrt{64 + 25} = \sqrt{89} \approx 9.4$

Answer:

9.4