Ali T.
asked 03/15/22What is the hypotenuse of a right triangle whose other 2 sides are 5 √2?
What is the hypotenuse of a right triangle whose other 2 sides are 5 √2?
Why is Geometry so hard and confusing...
2 Answers By Expert Tutors
When asked about side lengths of a right triangle, you should immediately think of the Pythagorean Theorem:
a2 + b2 = c2
where a and b are the side lengths and c is the length of the hypotenuse. You are given a = b = 5√2. Plug those values into the Pythagorean theorem and solve for c.
Jon S. answered 03/19/22
Patient and Knowledgeable Math and English Tutor
If the other two sides (the legs) of a right triangle are equal, then we are dealing with a 45-45-90 right triangle, where the hypotenuse is equal to the length of the leg * sqrt(2) = 5 * sqrt(2) * sqrt(2) = 10.
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Brenda D.
03/15/22