Respuesta :
Answer:
7.2 inches
Step-by-step explanation:
Here is the complete question :
The Quadrilateral ABCD has a area of 52 square inches and diagonal AC = 14.5 inches. Find the Length of diagonal BD if AC is perpendicular to BD
the quadrilateral is a rhombus.
A rhombus is a four sides quadrilateral with the four sides equal in length
The area of a rhombus = [tex]\frac{1}{2} pq[/tex]
where p and q are the two diagonals
the above formula can be rewritten using the notation for diagonals provided in the question
52 in² = [tex]\frac{1}{2} AC BD[/tex]
52 = [tex]\frac{1}{2}[/tex] x 14.5 x BD
BD = (52 x 2) / 14.5
BD = 7.2 inches
