A square painting has a diagonal of 44 in.
Lorraine wants to frame the picture. The
framing material is sold by the inch.

What is the minimum amount of framing she
needs?
A 31 in.
B 32 in.
C 124 in
D 125 in.​

A square painting has a diagonal of 44 inLorraine wants to frame the picture Theframing material is sold by the inchWhat is the minimum amount of framing shenee class=

Respuesta :

Kheazy

Answer:

A. 31 in

Step-by-step explanation:

Right angled triangle = c2 = a2 + b2

[tex] {44}^{2} = {x}^{2} + {y}^{2} [/tex]

The frame is a square, so the lengths of x and y are equal

[tex]x = y \\ {44}^{2} = {x}^{2} + {x}^{2} \\ 1936 = 2 {x}^{2} \\ \frac{1936}{2} = {x}^{2} \\ 968 = {x}^{2} \\ \sqrt{968} = x \\ 31.04 = x[/tex]

X= 31 in

Answer: 31 in




Explain: