Question

Use this picture to solve for y. Round your answer to the hundredths place.

Answer 1

• x = 2, y = 4.47, z = 2.24

Explanation:

As per diagram we see similar triangles:

• ΔADC ≅ ΔCDB

The ratio of corresponding sides:

• AD/DC = DC/DB
• 1/x = x/ 4
• x² = 4
• x = 2

Use Pythagorean to find the values of y and z:

• z =
  `√(1^2+2^2)` =
  `√(5)` = 2.24
• y =
  `√(2^2+4^2)` =
  `√(20)` = 4.47