Answer:
RT = 86
Explanation:
Here, we want to find the value of RT
looking at the given triangle, we can deduce that the smaller triangle SPQ is half the measure of the bigger triangle SRT
what this mean is that we have to multiply the dimensions on SPQ by 2 to get the equivalent dimensions of similar sides in SRT
Thus, we have it that;
2(15x -17) = 23x -6
30x - 34 = 23x -6
30x -23x = -6 + 34
7x = 28
x = 28/7
x = 4
So, we make a substitution
for RT;
23x-6
= 23(4) - 6 = 92-6 = 86