Joel wants to fence off a triangular portion of his yard yard for his chickens. the three pieces of fencing he has to use are 8 feet, 15 feet and 20 feet

The complete question in the attached figure

we know that
in a right triangle
c²=a²+b²
c=20 ft
a=8ft
b=15 ft
so
c²------> 20²----> 400
and
a²+b²-----> 8²+15²------> 64+225-----> 289
so
400 is not 289
therefore

Part A)
the answer is
Joel is not be able to make a right triangle with his fence

Part B)
if Joel cut the longest piece of fencing in order to make a right triangle
then
a²+b²=289
so
c²=√289-------> c=17 ft

the perimeter of the fence is
17+8+15-----> perimeter=40 ft

if Joel takes 30 sec to install----------> 1 ft of fencing
 X--------------------------------------> 40 ft
x=40*30-----> x=1200 sec------> x=1200/60----> x=20 minutes

Part B)
the answer is
 20 minutes

Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.