Question

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.

Answer 1

Answer: C)a quadrilateral, because angle C and angle X are acute

Step-by-step explanation: Im double confiming that this is the right answer on edge......I just did the quiz and got 100% thx to the person above!! Hope this helps :D

Answer 2

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