Question:
Find the length of the hypotenuse of a right triangle with legs of length 6 cm and 8 cm.
Find the length of the hypotenuse of a right triangle with legs of length 6 cm and 8 cm.
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To find the length of the hypotenuse in a right triangle, use the Pythagorean theorem: \( a^2 + b^2 = c^2 \).
Updated On: Oct 6, 2025
- \( 12 \, \text{cm} \)
- \( 10 \, \text{cm} \)
- \( 8 \, \text{cm} \)
- \( 6 \, \text{cm} \)
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The Correct Option is B
Solution and Explanation
Step 1: Use the Pythagorean theorem:
\[
a^2 + b^2 = c^2,
\]
where \( a = 6 \, \text{cm} \), \( b = 8 \, \text{cm} \), and \( c \) is the length of the hypotenuse.
Step 2: Substitute the values:
\[
6^2 + 8^2 = c^2
\Rightarrow
36 + 64 = c^2
\Rightarrow
100 = c^2. \] Step 3: Take the square root of both sides: \[ c = \sqrt{100} = 10 \, \text{cm}. \] Thus, the length of the hypotenuse is \( 10 \, \text{cm} \).
\Rightarrow
36 + 64 = c^2
\Rightarrow
100 = c^2. \] Step 3: Take the square root of both sides: \[ c = \sqrt{100} = 10 \, \text{cm}. \] Thus, the length of the hypotenuse is \( 10 \, \text{cm} \).
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