Question

HELP is a
rectangle. Its diagonals
meet at O. Find x if OH
= 3x - 9, OP = x +
1 and, hence, find HL.​

Answer 1

Answer:

Step-by-step explanation:

OH=3x-9

OP=x+1

HL=2(3x-9) ( Since diagonals of a rectangle bisect each other at O)

EP=2(x+1) ( Since diagonals of a rectangle bisect each other at O)

HL=EP (Since diagonals of a rectangle are equal)

Therefore, 3x-9=x+1

2x=10

x=5

And HL= 2(15-9)

HL=12