QQuestionMathematics
QuestionMathematics
What is the length of the hypotenuse of the triangle?
| | | |
| --- | --- | --- |
| 7 cm | | |
| B | 3 cm | C |
| | | |
| 7 | 20 cm | |
| 0 | √23 cm | |
| 0 | √40 cm | |
| 0 | √58 cm | |
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Answer
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Step 1: Identify the given side lengths.
In the given triangle, we are provided with the lengths of two sides, 7 cm (labeled as the side adjacent to angle B) and 3 cm (labeled as the side opposite to angle B). We are asked to find the length of the hypotenuse (labeled as side c).
Step 2: Apply the Pythagorean theorem.
c^2 = a^2 + b^2
The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse (side c) is equal to the sum of the squares of the lengths of the other two sides (sides a and b). In equation form, this can be written as:
Final Answer
The length of the hypotenuse is approximately 7.62 cm.
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