Question

(90 POINTS) How can you find the length of RT using similarity? Explain your reasoning.

Answer 1

Answer:

RT = 26

Step-by-step explanation:

Based on the figure we can say :

• ΔABC ~ ΔTSR (by SAS similarity)

Scale factor :

• AB/SR = 12/24 = 1/2

Hence, as the proportions are the same :

• CA/RT = 1/2
• 13/RT = 1/2
• RT = 13 x 2
• RT = 26

Answer 2

You can use the pythagorean theorem to find the length of RT for example:

a^2+b^2=c^2

24^2+10^=c^2 when you simplify this you get 26 so the length of RT is 26