Use the Pythagorean Theorem Practice

Question

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Question
If a right triangle has legs measuring 10 cm and 24 cm, how long is the hypotenuse?(1 point)
cm
Remaining Attempts : 3

Answer 1

To find the length of the hypotenuse of a right triangle using the Pythagorean theorem, you can use the formula:

\[ c = \sqrt{a^2 + b^2} \]

where \( c \) is the hypotenuse, and \( a \) and \( b \) are the lengths of the legs.

In your case, the legs of the triangle are 10 cm and 24 cm:

1. Calculate \( a^2 \) and \( b^2 \):

   • \( 10^2 = 100 \)
   • \( 24^2 = 576 \)

2. Add these values together:

   • \( 100 + 576 = 676 \)

3. Take the square root:

   • \( c = \sqrt{676} = 26 \) cm

Therefore, the length of the hypotenuse is 26 cm.