Nicholas drew a triangle with 45°, 35°, and 100° angles. is there another triangle with the same three angles but different side lengths?

Yes, there are infinite similar triangles with the same three angles and different side lengths

Step-by-step explanation:

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

so

There are infinite similar triangles with the same three angles and different side lengths

true

step-by-step explanation:

answer: the angel abc is 30°,and the abc is a triangle where the angel bac is 90°

so ac is the half of 24=12ft,and from the pythagorean theorem we find ba

ba=√bc^2-ac^2=√576-144=√432=12√3ft

so bac is 12+12√3=12(1+√3)ft