Kurt wants to informally prove the converse of the pythagorean theorem by producing some evidence that supports it. recall that the converse of the pythagorean theorem states: if a triangle has side lengths a, b,c, such that latex: a^2+b^2\: =\: c^2a 2 + b 2 = c 2 , then the triangle is a right triangle. kurt is going to construct several triangles with different side lengths. select the two sets of three side lengths below that kurt can use as evidence to support the converse of the pythagorean theorem. group of answer choices

20,48,52  and  7,24,25

Step-by-step explanation:

The following group of answer choices  are missing in the question:

The set of sides has to satisfy the equation: a² + b² = c²

For the first case: 20² + 48² = 52²

For the second case: 4² + 5² ≠ 6²

For the third case: 7² + 24² = 25²

For the fourth case: 9² + 12² ≠ 16²

last option

step-by-step explanation:

given that δdef is right and isoceles,

assuming that side df is the hypotenuse means that de an ef are the other 2 sides that intersect at 90° and are of equal length.

because they are of equal length, we can say that they are congruent

because they intersect at 90°, their slopes must be opposite reciprocals.

only the last option satisfies these conditions.

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,