Question

Diagonals of a rhombus are perpendicular; therefore, RM 1 HB. Find thevalue of y.

Answer 1

When there are Perpendicular lines , is valid m• m' = -1

then find m and m'

m = H/B

. = (y - 4)/(2-6)

. = (y - 4)/-4

Now find m'

m' = M/ R

. = (11-3)/ (10--2)

. = 8/ 12 = 2/3

Then apply formula m•m' = -1

[(y-4)/-4 ]• 2/3 = -1

solve for y

Then

(y-4) = -1• (3/2)•-4

(y -4) = 12/2 = 6

now delete parenthesis

y = 6 + 4

. = 10

Then ANSWER IS

y = 10