The hypotenuse of a right triangle measures 17cm and one of its legs measures 15cm. Find the measure of the other leg. If necessary, round to the nearest tenth. Answer: cm

Identify Known Sides: Identify the known sides of the right triangle and the unknown side we need to find. We know the hypotenuse (c) is 17 cm and one leg (a) is 15 cm. We need to find the length of the other leg (b).Apply Pythagorean Theorem: Apply the Pythagorean Theorem to find the length of the other leg. The Pythagorean Theorem 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). c^2 = a^2 + b^2Plug in Values: Plug in the known values into the Pythagorean Theorem and solve for b. 17^2 = 15^2 + b^2 289 = 225 + b^2Subtract to Isolate: Subtract 225 from both sides of the equation to isolate b^2. 289 - 225 = b^2 64 = b^2Take Square Root: Take the square root of both sides to solve for b. sqrt(64) = sqrt(b^2) 8 = bCheck Result: Check the result to ensure it makes sense in the context of the problem. Since 8^2 + 15^2 should equal 17^2, we check: 8^2 + 15^2 = 64 + 225 = 289, which is indeed 17^2.

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The hypotenuse of a right triangle measures
17cm and one of its legs measures
15cm. 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 $15 \mathrm{~cm}$ . 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

15 \mathrm{~cm}

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

\newline

Answer:

\square

\mathrm{cm}

Identify Known Sides: Identify the known sides of the right triangle and the unknown side we need to find. We know the hypotenuse $c$ is $17$ cm and one leg $a$ is $15$ cm. We need to find the length of the other leg $b$ .
Apply Pythagorean Theorem: Apply the Pythagorean Theorem to find the length of the other leg. $\newline$ The Pythagorean Theorem 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 $b$ . $\newline$ $c^2 = a^2 + b^2$
Plug in Values: Plug in the known values into the Pythagorean Theorem and solve for $b$ . $17^2 = 15^2 + b^2$ $289 = 225 + b^2$
Subtract to Isolate: Subtract $225$ from both sides of the equation to isolate $b^2$ . $\newline$ $289 - 225 = b^2$ $\newline$ $64 = b^2$
Take Square Root: Take the square root of both sides to solve for $b$ . $\sqrt{64} = \sqrt{b^2}$ $8 = b$
Check Result: Check the result to ensure it makes sense in the context of the problem. $\newline$ Since $8^2 + 15^2$ should equal $17^2$ , we check: $\newline$ $8^2 + 15^2 = 64 + 225 = 289$ , which is indeed $17^2$ .