In a rhombus, the diagonals are perpendicular bisectors.AAPL wrote:Manhattan Prep
In the rhombus ABCD, the length of diagonal BD is 6 and the length of diagonal AC is 8. What is the perimeter of ABCD?
A. 10
B. 14
C. 20
D. 24
E. 28
OA C.
So, we can add our lengths as follows.
From here, if we focus on one of the 4 right triangles....
...we see we can apply the Pythagorean Theorem to write: 3² + 4² = x²
Evaluate: 9 + 16 = x²
So, 25 = x²
Solve to get: x = 5
Since all 4 sides of a rhombus have equal length, the perimeter = (4)(5) = 20
Answer: C
Cheers,
Brent
