what value of x will make the triangles similar by the sss similarity theorem? 1.5 20 30 67.5
what value of x will make the triangles similar by the sss similarity theorem? 1.5 20 30 67.5
Answer
Explanation:
Step1: Set up the proportion
According to the SSS similarity theorem, the ratios of corresponding sides of similar triangles are equal. So, (\frac{50}{75}=\frac{x}{45}).
Step2: Solve the proportion for (x)
Cross - multiply: (75x = 50\times45). Then (75x=2250). Divide both sides by 75: (x=\frac{2250}{75}).
Answer:
(x = 30), so the answer is 30.