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Hello, can someone please help me with this I need a explanation and the answer. Thank you! - I will give you 25 points Joey is building a frame for a sandbox. The sand box is is going to have the shape and dimensions below. If the diagonal of the sandbox measures 14 feet, what kind of quadrilateral will the sandbox be? Explain how you know.

Hello can someone please help me with this I need a explanation and the answer Thank you I will give you 25 points Joey is building a frame for a sandbox The sa class=

Respuesta :

Answer:

we know that

applying the Pythagoras Theorem

c²=a²+b²

where

c=14 ft

a=8 ft

b=12 ft

case a)

if 

c²=a²+b²  C is a right angle 

case b) 

if 

c²< (a²+b²)  C is an acute angle 

case c) 

if 

c² > (a²+b²)  C is an obtuse angle 

c²=14²  196

(a²+b²)=8²+12²  208

196 < 208

c² < (a²+b²)   C is an acute angle 

the answer is the option

C. a quadrilateral, because angle C and angle X are acute

hope thus helps lol

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