Question

You're building a window frame. Your frame is 45 inches tall, 28 inches wide, and the diagonal is 53 inches. Does your frame have perfect right angles?

Answer 1

Does have

Explanation:

to understand this

you need to know about:

• Pythagoras theorem
• rectangle
• PEMDAS

given:

• length:45
• width:28
• diagonal:53

tips and formulas:

• Pythagoras theorem:a²+b²=c²
• to figure out whether the frame has perfect right angles or not you have to use Pythagoras theorem since this theorem is only true for right angle triangle and also a rectangle has perfect right angles

let's solve:

`\sf {45}^(2) + {28}^(2) = {53}^(2)`

`\sf \: step - 2 : \sf \: check \: the \: equality`

1. 
   `\sf simplify \: squares : \\ \sf 2025 + 784 = 2809`
2. 
   `\sf add : \\ \sf 2809 = 2809`

`\text{$\therefore$ the frame does have right angles}`