Please help me with my work

If the squares of the two shorter sides add up to the square of the hypotenuse, the triangle contains a right angle.

Step-by-step explanation:

Down below is the answer.

Step-by-step explanation:

So, lets remember that the pythagreon theorm is only useable in right traingles.

The formula for the pythagreons theorm is A^2+B^2=C^2

So basically, if this is not a right triangle, the two sides(4ft^2 and 3ft^2) will be equivelent to 5ft^2.

Lets solve the pythagroens theorm and plug in our values:

4^2+3^2=5^2

Now lets use the square roots:

16+9=25

COmbine the two numbers:

25=25

This is correct!

So yes, this is a right triangle.

HOpe this helps! :)

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.