https://file.aiquickdraw.com/mathbot/file/1725983601714b6z1wmtd.jpg

The image shows two right-angled triangles, \( \triangle KLM \) and \( \triangle PQR \).

### Triangle \( KLM \):
- \( MK = 8 \) cm (the vertical leg)
- \( KL = 10 \) cm (the horizontal leg)
- \( \angle KML = 90^\circ \) (right angle at \( M \))

### Triangle \( PQR \):
- \( PQ = 15 \) cm (the horizontal leg)
- \( \angle PQR = 90^\circ \) (right angle at \( Q \))
- The lengths of sides \( PR \) (hypotenuse) and \( QR \) (vertical leg) are not given.

Both triangles have different symbols marking the corresponding angles (e.g., a circle, square, or cross). The symbols suggest that the corresponding angles of the triangles are congruent, meaning the triangles are similar.

Since these triangles are similar, we can use the properties of similar triangles to find missing side lengths or angle measures.

Would you like me to find a specific side length, verify similarity, or calculate any other properties?

Two right-angled triangles, KLM and PQR, are shown. Triangle KLM has side lengths of MK = 8 cm and KL = 10 cm, with a right angle at M. Triangle PQR has side length PQ = 15 cm, with a right angle at Q. The corresponding angles are congruent, suggesting that the triangles are similar. What are the missing side lengths or angles, and can similarity be verified?

Explore the similarity between right-angled triangles KLM and PQR. Learn how to use the properties of similar triangles, the Pythagorean Theorem, and corresponding angles to solve for missing side lengths. Suitable for students in Grades 8-10.

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