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.
Similar Questions
Each leg of a 45-45-90 triangle has a length of 6 units. What is the length of its hypotenuse?A.6 unitsB.12 unitsC.3 unitsD.6 unitsSUBMITarrow_backPREVIOUS
If a 45° - 45° - 90° triangle has a hypotenuse of 7.07, find the length of each leg. (Round your answer to the nearest whole number.)Answer:Question 12
The hypotenuse of a 30°-60°-90° triangle is 30. What is the length of one of its legs?
In a right triangle, the length of one leg is 7 ft. The length of the other leg is 10 ft. What is the length of the hypotenuse?
In the diagram shown of right triangle BAC, m∠A=90, m∠B= 45 and AC = 8, what is the length of BC?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.