A rectangle has a diagonal of 2 and a length of 13. Find its width.

The width is or 12.8452326i units long.

Step-by-step explanation:

Well the diagonal and length make a Pythagorean triangle with the width as a or b.

13²+b²=2²

169+b²=4

Subtract 169 from both sides.

b²=-165

Square root both sides

b=≈12.8452326i

ad = ae + ed = y + 7

similar triangles therefor

ac/ab = ad/ae

6/4 = (y + 7) / y

cross multiply

6y = 4(y + 7)

6y = 4y + 28

2y = 28

y = 14

step-by-step explanation: