A triangle has one side that measures 5 ft, one side that measures 7 ft, and one side that measures 10 ft. What kind of triangle is it?
A. scalene triangle
B. right triangle
C.
isosceles triangle
D. equilateral triangle
What is the answer

A is the answer

Step-by-step explanation:

we can eliminate D as the answer because an equilateral triangle has sides that are all the same length

we can see if it's a right triangle by using the Pythagorean Theorem which says the sum of the square of the legs is equal to the square of the hypotenuse (which is the longest side)

does 5² + 7² = 10²?

no, 25 + 49 ≠ 100

so, we can eliminate B as the answer

we can eliminate C because an isosceles triangle has two sides which have the same length

therefore, the answer is A, a scalene triangle which has three unique side lengths

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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