One of the legs of a right triangle measures 8cm and the other leg measures 15cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth. Answer: cm

Use Pythagorean Theorem: To find the measure of the hypotenuse of a right triangle, we 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 c² = a² + b². In this case, a = 8 cm and b = 15 cm. So we need to calculate c² = 8² + 15².Calculate 8²: First, we calculate the square of 8 cm: 8² = 64 cm².Calculate 15²: Next, we calculate the square of 15 cm: 15² = 225 cm².Add Squares of Legs: Now, we add the squares of the two legs to find the square of the hypotenuse: 64 cm² + 225 cm² = 289 cm².Find Hypotenuse Length: To find the length of the hypotenuse, we take the square root of 289 cm². The square root of 289 is 17. So, the hypotenuse c = √289 cm = 17 cm.

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One of the legs of a right triangle measures
8cm and the other leg measures
15cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
Answer:
cm

One of the legs of a right triangle measures $8 \mathrm{~cm}$ and the other leg measures $15 \mathrm{~cm}$ . Find the measure of the hypotenuse. If necessary, round to the nearest tenth. $\newline$ Answer: $\square$ $\mathrm{cm}$

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Q. One of the legs of a right triangle measures

8 \mathrm{~cm}

and the other leg measures

15 \mathrm{~cm}

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

\newline

Answer:

\square

\mathrm{cm}

Use Pythagorean Theorem: To find the measure of the hypotenuse of a right triangle, we 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 $c^2 = a^2 + b^2$ . $\newline$ In this case, $a = 8$ cm and $b = 15$ cm. So we need to calculate $c^2 = 8^2 + 15^2$ .
Calculate $8^2$ : First, we calculate the square of $8\,\text{cm}$ : $8^2 = 64\,\text{cm}^2$ .
Calculate $15^2$ : Next, we calculate the square of $15$ cm: $15^2 = 225$ cm $^2$ .
Add Squares of Legs: Now, we add the squares of the two legs to find the square of the hypotenuse: $64 \, \text{cm}^2 + 225 \, \text{cm}^2 = 289 \, \text{cm}^2$ .
Find Hypotenuse Length: To find the length of the hypotenuse, we take the square root of $289\,\text{cm}^2$ . The square root of $289$ is $17$ . So, the hypotenuse $c = \sqrt{289}\,\text{cm} = 17\,\text{cm}$ .