Question

How long is the brace that connects points B and D?

Answer 1

60 cm

Explanation:

Answer 2

60 cm

Explanation:

step 1

Find the value of y

we know that

The diagonals of a parallelogram bisect each other.

so

DE=EB

substitute the values

3y+6=5y-10

solve for y

5y-3y=6+10

2y=16

y=8 cm

step 2

Find the length of diagonals BD

BD=3y+6+5y-10=8y-4=8(8)-4=60 cm