Is a triangle with side lengths of 10, 11, 14 a right triangle?

no

Step-by-step explanation:

A right triangle has a formula a^2+b^2=c^2 with c being the longest side (hyponotuse). 10 squared is 100, 11 squared is 121, so add those and get 221. 14 squared is only 196 which is not equal to 221 so it is not a right triangle

Yes

Step-by-step explanation:

d. 145*2 is 290 than the total angle is 360 then minus 290 then divide by two

alright so i think for this one it would to draw it out. this may be hard for me to try and draw, but i will do my best on here:

        r

  /       |     \

notice how it forms 2 triangles inside one bigger triangle.

so if we know the angle spr is the same as psr that is saying the measure of angle p is the same as angle s. this means the big triangle psr is either isosceles or equilateral. in both cases, the triangle is perfectly symmetrical when split down the middle, which is in this case rq. because we know it is perfectly symmetrical on both sides, we know that the two triangles inside the bigger one are equal.