The hypotenuse of a right triangle measures 10cm and one of its legs measures 6cm. 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. We know the hypotenuse (c) is 10 cm and one leg (a) is 6 cm. We need to find the length of the other leg (b).Use Pythagorean Theorem: Use 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. 10^2 = 6^2 + b^2 100 = 36 + b^2Solve for b^2: Solve for b^2. b^2 = 100 - 36 b^2 = 64Find Value of b: Find the value of b by taking the square root of b^2. b = sqrt(64) b = 8Check Result: Check the result to ensure it makes sense in the context of the problem. Since 8^2 + 6^2 = 64 + 36 = 100, which is equal to 10^2, our calculation is correct.

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The hypotenuse of a right triangle measures
10cm and one of its legs measures
6cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
cm

The hypotenuse of a right triangle measures $10 \mathrm{~cm}$ and one of its legs measures $6 \mathrm{~cm}$ . 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

10 \mathrm{~cm}

and one of its legs measures

6 \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. $\newline$ We know the hypotenuse $c$ is $10$ cm and one leg $a$ is $6$ cm. We need to find the length of the other leg $b$ .
Use Pythagorean Theorem: Use 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. $\newline$ $10^2 = 6^2 + b^2$ $\newline$ $100 = 36 + b^2$
Solve for $b^2$ : Solve for $b^2$ .
$b^2 = 100 - 36$
$b^2 = 64$
Find Value of b: Find the value of $b$ by taking the square root of $b^2$ . $b = \sqrt{64}$ $b = 8$
Check Result: Check the result to ensure it makes sense in the context of the problem. $\newline$ Since $8^2 + 6^2 = 64 + 36 = 100$ , which is equal to $10^2$ , our calculation is correct.