Mathematics ACT Aspire Practice Test 2025 – Complete Study Resource

Question: 1 / 400

What is the length of the hypotenuse of a right triangle with legs measuring 6 and 8?

8

10

To find the length of the hypotenuse of a right triangle when the lengths of the legs are known, we can apply the Pythagorean theorem. This theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides (the legs).

In this case, we have legs measuring 6 and 8. According to the Pythagorean theorem, the formula can be expressed as:

\[

c^2 = a^2 + b^2

\]

where \( c \) is the length of the hypotenuse, and \( a \) and \( b \) are the lengths of the legs. Here, we substitute the values:

\[

c^2 = 6^2 + 8^2

\]

Calculating the squares gives:

\[

c^2 = 36 + 64

\]

Now, adding those results together:

\[

c^2 = 100

\]

To find \( c \), we take the square root of both sides:

\[

c = \sqrt{100} = 10

\]

Thus

Get further explanation with Examzify DeepDiveBeta

12

14

Next Question

Report this question

Download Mathematics ACT Aspire Practice Test PDF Study Guide
Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy