Asked by quandale dingle
Use the Pythagorean Theorem Practice
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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
Complete this assessment to review what you've learned. It will not count toward your grade.
3 of 53 of 5 Items
Question
If a right triangle has legs measuring 10 cm and 24 cm, how long is the hypotenuse?(1 point)
cm
Remaining Attempts : 3
Answers
Answered by
GPT-4o mini
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**.
\[ c = \sqrt{a^2 + b^2} \]
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**.
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