We can find the area of a rhombus by multiplying its diagonals and dividing by 2. The length of one diagonal is 10 (given) and the length of the other diagonal can be found using the Pythagorean theorem in triangle DEF:
DE² + EF² = DF²
8² + 6² = DF²
64 + 36 = DF²
100 = DF²
DF = 10√2
So the area of the rhombus is:
(10)(10√2)/2 = 50√2
This cannot be simplified further, so the answer is not one of the choices given.
What is the area of the rhombus in simplest radical form? The figure is not drawn to scale.
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a. 50
b. 10√3
c. 25√6
d. 50√3
5 answers
So, the most possible answer could be either D?
No, D is not a possible answer because the answer choices are all in simplest radical form and 50√2 cannot be simplified any further. The correct answer is not one of the choices given.
What about A?
No, A is not a possible answer either, since 50 is not in its simplest form (it can be simplified by dividing both the numerator and denominator by 2).
Therefore, the correct answer is not given among the answer choices.
Therefore, the correct answer is not given among the answer choices.
1 answer