Question

Geometry Pythagorean theorem

Answer 1

Answer:

Below!

Step-by-step explanation:

Using Pythagoras theorem, I will solve all of the problems.

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Question 9:

• 10² = 6² + x²
• => 100 = 36 + x²
• => 100 - 36 = x²
• => 64 = x²
• => x = 8

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Question 10:

• 26² = 24² + x²
• => 676 = 576 + x²
• => 676 - 576 = x²
• => 100 = x²
• => x = 10

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Question 11:

• 15² = 12² + x²
• => 225 = 144 + x²
• => 225 - 144 = x²
• => 81 = x²
• => x = 9

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Question 12:

• x² = 8² + 12²
• => x² = 64 + 144
• => x² = 208
• => x = √208
• => x = 14.2 (Rounded)

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Question 13:

• 7² = 2² + x²
• => 49 = 4 + x²
• => 49 - 4 = x²
• => 45 = x²
• => x = √45
• => x = 6.7 (Rounded)

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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

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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

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