The hypotenuse of a right triangle measures 17cm and one of its legs measures 8cm. Find the measure of the other leg. If necessary, round to the nearest tenth. Answer: cm

Identify Formula: Identify the formula to use for a right triangle. We will use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). The formula is c^2 = a^2 + b^2.Plug in Values: Plug in the known values into the Pythagorean theorem. We know the hypotenuse (c) is 17 cm and one leg (a) is 8 cm. We need to find the other leg (b). So, 17^2 = 8^2 + b^2.Calculate Squares: Calculate the squares of the known sides. 17^2 = 289 and 8^2 = 64. So, 289 = 64 + b^2.Subtract Squares: Subtract the square of the known leg from the square of the hypotenuse to find the square of the other leg. 289 - 64 = b^2. 225 = b^2.Take Square Root: Take the square root of both sides to solve for b. √225 = b. 15 = b.Check Answer: Check if the answer is reasonable. The other leg (b) is 15 cm, which is less than the hypotenuse (17 cm) and greater than the known leg (8 cm), which makes sense in the context of a right triangle.

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The hypotenuse of a right triangle measures
17cm and one of its legs measures
8cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
cm

The hypotenuse of a right triangle measures $17 \mathrm{~cm}$ and one of its legs measures $8 \mathrm{~cm}$ . Find the measure of the other leg. If necessary, round to the nearest tenth. $\newline$ Answer: $\square$ $\mathrm{cm}$

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Q. The hypotenuse of a right triangle measures

17 \mathrm{~cm}

and one of its legs measures

8 \mathrm{~cm}

. Find the measure of the other leg. If necessary, round to the nearest tenth.

\newline

Answer:

\square

\mathrm{cm}

Identify Formula: Identify the formula to use for a right triangle. $\newline$ We will use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse $c$ is equal to the sum of the squares of the lengths of the other two sides $a$ and $b$ . The formula is $c^2 = a^2 + b^2$ .
Plug in Values: Plug in the known values into the Pythagorean theorem. $\newline$ We know the hypotenuse $c$ is $17$ cm and one leg $a$ is $8$ cm. We need to find the other leg $b$ . $\newline$ So, $17^2 = 8^2 + b^2$ .
Calculate Squares: Calculate the squares of the known sides. $\newline$ $17^2 = 289$ and $8^2 = 64$ . $\newline$ So, $289 = 64 + b^2$ .
Subtract Squares: Subtract the square of the known leg from the square of the hypotenuse to find the square of the other leg. $289 - 64 = b^2$ . $225 = b^2$ .
Take Square Root: Take the square root of both sides to solve for $b$ . $\sqrt{225} = b$ . $15 = b$ .
Check Answer: Check if the answer is reasonable. $\newline$ The other leg $b$ is $15$ cm, which is less than the hypotenuse $17$ cm and greater than the known leg $8$ cm, which makes sense in the context of a right triangle.