The legs of a 45-45-90 triangle have a length of 8 units. What is the length of its hypotenuse?
Question
The legs of a 45-45-90 triangle have a length of 8 units. What is the length of its hypotenuse?
Solution
In a 45-45-90 triangle, the hypotenuse is √2 times the length of each leg.
Step 1: Identify the length of one leg. In this case, the length of each leg is 8 units.
Step 2: Multiply the length of the leg by √2 to find the length of the hypotenuse.
So, 8 * √2 = 11.31 units (rounded to two decimal places).
Therefore, the length of the hypotenuse of this 45-45-90 triangle is approximately 11.31 units.
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