Free. Exclusive. Just for you.
Four unique services that make learning easier, faster, and smarter - only on our website.

Create Worksheet Homework Help Create Multiple Images More AI Tools

Two triangles sharing a common vertex A, with labeled side lengths and variable x for side AR.

Two overlapping triangles, ΔABC and ΔTSR, with side lengths labeled: AB = 9, BC = 18, AC = 21, TS = 15, TR = 35, and AR = x.

JPG 424×270 13.5 KB Free · Personal Use

Quality Assured by Worksheets Library Team

Reviewed for educational accuracy and age-appropriateness

ID: #834648

✨ Generate New Worksheet

⭐

Show Answer Key & Explanations Step-by-step solution for: How to Find the Missing Side Length Given Two Similar Triangles ...

▼

1. The two triangles, ΔABC and ΔSTR, are similar by the Side-Side-Side (SSS) similarity criterion because their corresponding sides are proportional.
2. The ratio of corresponding sides is 9:15, which simplifies to 3:5.
3. Since the side BC corresponds to side TR, and BC = 18 while TR = 35, we can set up the proportion: 18/x = 3/5.
4. Solving for x: x = (18 * 5) / 3 = 30.
5. Therefore, the length of side AR is 30.

Parent Tip: Review the logic above to help your child master the concept of finding missing sides of similar triangles worksheet.

Print Download

How to use

Click Print to open a print-ready version directly in your browser, or use Download to save the file to your device. The ⭐ Answer button generates an AI answer key instantly - useful for teachers who need a quick reference. Need a different version? Our AI Worksheet Generator lets you create a custom worksheet on any topic in seconds.

(view all finding missing sides of similar triangles worksheet)