Question

XYZW is a parallelogram with diagonals and that intersects at point A if YA=2t WA=3t-4 and XZ=5t find XA​

Answer 1

As Diagonals bisect each other in parallelogram

• YA=WA
• 2t=3t-4
• 3t-2t=4
• t=4

Diagonal XZ

• 5t
• 5(4)
• 20

Answer 2

• XA = 10 units

Explanation:

Given parallelogram XYZW with:

• XZ and YW intersect at point A.
• YA = 2t
• WA = 3t - 4
• XZ = 5t
• XA = ?

First, the diagonals bisect each- other:

• YA = WA

Substitute values and solve for t:

• 2t = 3t - 4
• 3t - 2t = 4
• t = 4

Find the diagonal XZ:

• XZ = 5t = 5*4 = 20

Find the length of XA:

• XA = XZ / 2 = 20 / 2 = 10