In the diagram below, DF = JL = a, FE = LK = b, and triangle DEF is a right triangle.
Use the drop-down menus to complete the proof that if the equation a² + b2 = c2 is true of
the side lengths in triangle JKL, then triangle JKL must be a right triangle.
a
b
c
b
Triangle DEF is a right triangle
a² +6² c²
Click the arrows to choose an answer from each menu.
To prove triangle JKL is a right triangle, we must show that Choose... is a right angle.
Since triangle DEF is given to be right triangle, the Pythagorean theorem can be applied to
determine that Choose...
We already know that a² + b2 = c in triangle JKL, SO
these two equations show that Choose...
which is enough to
prove that triangles DEF and JKL are congruent triangles. Then, triangle JKL must be a
right triangle because Choose...
hi

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

Given

DF = JL = a, FE = LK = b,

And ΔDEF is a right triangle.

To find

ΔDEF and ΔJKL are congruent to each other.

How to find the ΔDEF and ΔJKL are congruent to each other?

Since the Pythagoras theorem is applicable in ΔDEF.

a² + b² = c²

This equation also satisfies the ΔJKL Hence angle K is the right-angle.

Since, ∠F = ∠L = 90°,

DF = JL = a,

FE = LK = b

Therefore, ΔDEF ≅ ΔJKL

Thus, ΔDEF and ΔJKL are congruent to each other.

More about the triangle link is given below.

https://brainly.com/question/25813512