SOLUTION: A quadrilateral is split with a diagonal AC on two triangles with perimeters 32 and 45cm. Find the length of the diagonal AC if the perimeter of the quadrilateral is 51 cm

Algebra ->  Parallelograms -> SOLUTION: A quadrilateral is split with a diagonal AC on two triangles with perimeters 32 and 45cm. Find the length of the diagonal AC if the perimeter of the quadrilateral is 51 cm      Log On


   

Question 1080239: A quadrilateral is split with a diagonal AC on two triangles with perimeters 32 and 45cm. Find the length of the diagonal AC if the perimeter of the quadrilateral is 51 cm
Answer by ikleyn(52884) About Me  (Show Source):
You can put this solution on YOUR website!
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The diagonal length is %2832+%2B+45+-+51%29%2F2 = 13 cm.

Because the sum of the perimeters of the triangles is the perimeter of the quadrilateral plus twice the length of the diagonal.

Which is Obvious.