Which triangles could you use the hl theorem to prove that triangle 1 is congruent to triangle 2?

The triangles that we can use the HL Theorem to prove that triangles 1 and 2 are congruent is: D. III only.

The HL Congruence Theorem is used to prove that two right triangles are congruent if they both have a pair of congruent hypotenuses and a pair of congruent legs.

Figure 1 doesn't tell us the hypotenuse lengths.

Figure 2 doesn't show right triangles.

Only Figure 3 shows a two right triangles with marked equal hypotenuses and a shared side length (congruent legs).

Therefore, the triangles that we can use the HL Theorem to prove that triangles 1 and 2 are congruent is: D. III only.

Learn more about HL Theorem on:

link

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2