Question

The hypotenuse of a right triangle measures 19 meters. One leg measures 15 meters. To the nearest tenth of a meter, what is the length of the other leg?

Answer 1

Answer:

The other leg is 6 meters.

Step-by-step explanation:

19*19=361

15*15=225

361-225=36

36/6=6

Answer 2

By applying Pythagorean's theorem, the length of the other leg is equal to 11.66 meters.

Given the following data:

• Hypotenuse = 19 meters

• Adjacent = 15 meters

To determine the length of the other leg, we would apply Pythagorean's theorem:

Mathematically, Pythagorean's theorem is given by the formula:

$Hypotenuse^2 = opposite^2 + adjacent^2$

Substituting the given parameters into the formula, we have;

$19^2 = opposite^2 + 15^2\\\\361 =opposite^2 +225\\\\Opposite^2 = 361-225\\\\Opposite = \sqrt{136}$

Opposite = 11.66 meters

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