Question

Find x, y, and z for the problem below

Answer 1

5 = x

z = 5√5

y = 10√5

Explanation:

We can find the value of variables using Euclidean theorem.

For x:

h² = x + 20 (h: height)

10² = 20x

• Find the second power of 10

100 = 20x

• Divide both sides by 20

5 = x

For z:

z² = x * (x+20)

• Replace x with 5

z² = 5 * (5+20)

• Calculate the left side

z² = 125

• Find the root of both sides

z = 5√5

For y:

y² = 20 * (x + 20)

• Calculate the left side by replacing x with 5 and then multiplying it with 20

y² = 500

• Find the root of both sides

y = 10√5