Question

Solve for a

Pythagorean theorem

Answer 1

`{a}^(2) + {b}^(2) = {c}^(2)`

`{c}^(2) - {b}^(2) = {a}^(2)`

`{8}^(2) - {6}^(2) = {28}^(2)`

`√(28)`

Answer 2

`\boxed{\sf{a=√(28) }}`

Explanation:

Pythagorean theorems can be applied to solve this problem.

Pythagorean theorem:

`\rightarrow \sf{a^2+b^2=c^2}`

⇒ c²-b²=a²

8²-6²=28²

Solve.

PEMDAS stands for:

• Parenthesis
• Exponents
• Multiply
• Divide
• Add
• Subtract

`\sf{8^2-6^2}`

Solve by exponents from left to right numbers.

`\sf{8^2=8*8=64}`

`\sf{6^2=36}`

Then, subtract.

`\sf{64-36=\boxed{\sf{28}}`

a=√28

Therefore, the correct answer is a=√28.

I hope this helps you! Let me know if my answer is wrong or not.