syeseo00
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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?

Respuesta :

Answer:

Does have

Step-by-step 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:

[tex]step - 1 : define[/tex]

[tex] \sf {45}^{2} + {28}^{2} = {53}^{2} [/tex]

[tex] \sf \: step - 2 : \sf \: check \: the \: equality[/tex]

  1. [tex] \sf simplify \: squares : \\ \sf 2025 + 784 = 2809[/tex]
  2. [tex] \sf add : \\ \sf 2809 = 2809[/tex]

[tex]\text{$\therefore$ the frame does have right angles}[/tex]

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