Question

Geometry Pythagorean Theorem help with 14 and 15 please

Answer 1

Step-by-step Solution for Question 14

First, let's solve for the variable x using Pythagoras theorem.

• => 5² = 3² + x²
• => 25 = 9 + x²
• => 16 = x²
• => x = 4 units

Now, let's solve for the variable y using Pythagoras theorem.

• (3 + 6)² = 5² + y²
• => (9)² = 25 + y²
• => 81 = 25 + y²
• => y² = 56
• => y = √56
• => y = 7.5 (Rounded) units

Answers (Nearest tenth):

• x = 4 units
• y = 7.5 units

Step-by-step Solution for Question 15.

First, let's find the value of the variable y using Pythagoras theorem.

• 8² = 6² + y²
• => 64 = 36 + y²
• => 28 = y²
• => y = √28
• => y = 5.3 (Rounded) units

Now, let's find the value of the variable x using multiplication.

• x = 2y
• => x = 2(5.3)
• => x = 10.6 units

Answer (Nearest tenth)

• x = 10.6 units
• y = 5.3 units

Answer 2

given below.

Explanation:

Used Pythagoras theorem

14)

x² + 3² = 5²

x² = 25 - 9

x = √16

x = 4

4² + 6² = y²

y = √16 + 36

y = 7.2

15)

y² + 6² = 8²

y² = 64 - 36

y = √28

y = 5.3

so x = 5.3 * 2 = 10.6

x = 10.6