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Midsegments, Medians & Altitudes - Worksheet 1 - 10th Grade

Easy

Apply properties of triangle midsegments, medians, and altitudes (Easy)

15 problems · 20-25 minutes · Skills: triangles, geometric properties, geometry

About This Worksheet

This easy-level worksheet contains 15 problems designed for 10th Grade students practicing midsegments, medians & altitudes. Easy worksheets use simpler numbers and straightforward problem types to build confidence and reinforce foundational skills.

The special segments of a triangle reveal deep structural properties — centers of gravity, circumscribed circles, and inscribed circles. These concepts connect to physics, engineering design, and later to coordinate geometry proofs where proving a point is a midpoint or the centroid requires algebraic calculation.

  • Apply the Triangle Midsegment Theorem to find lengths and prove parallelism
  • Locate and use the centroid as the intersection of the three medians
  • Distinguish among the orthocenter, circumcenter, incenter, and centroid of a triangle
  • Use the centroid theorem to find segment lengths when given a median length
  • Construct the circumscribed and inscribed circles of a triangle using the circumcenter and incenter

How to Solve: Worked Example

Example Problem: A midsegment is parallel to a side of length 14. Find the midsegment length.
Solution Steps:
  1. The Midsegment Theorem: a midsegment is half the length of the parallel side.
  2. 14 ÷ 2.
  3. = 7.
Answer: 7
Tip: A midsegment joins the midpoints of two sides and is always parallel to — and half of — the third.
1
A midsegment of a triangle is parallel to a side of length 34. Find the midsegment length.
2
A midsegment of a triangle is parallel to a side of length 94. Find the midsegment length.
3
A midsegment of a triangle is parallel to a side of length 108. Find the midsegment length.
4
A midsegment of a triangle is parallel to a side of length 88. Find the midsegment length.
5
A midsegment of a triangle is parallel to a side of length 22. Find the midsegment length.
6
A midsegment of a triangle is parallel to a side of length 110. Find the midsegment length.
7
A midsegment of a triangle is parallel to a side of length 60. Find the midsegment length.
8
A midsegment of a triangle is parallel to a side of length 34. Find the midsegment length.
9
A midsegment of a triangle is parallel to a side of length 54. Find the midsegment length.
10
A midsegment of a triangle is parallel to a side of length 116. Find the midsegment length.
11
A midsegment of a triangle is parallel to a side of length 118. Find the midsegment length.
12
A midsegment of a triangle is parallel to a side of length 52. Find the midsegment length.
13
A midsegment of a triangle is parallel to a side of length 44. Find the midsegment length.
14
A midsegment of a triangle is parallel to a side of length 74. Find the midsegment length.
15
A midsegment of a triangle is parallel to a side of length 104. Find the midsegment length.

Answer Key

1. 172. 473. 544. 445. 116. 557. 308. 179. 2710. 5811. 5912. 2613. 2214. 3715. 52

Frequently Asked Questions

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Click the "Download PDF / Print" button at the top of the worksheet. You can save it as a PDF or print it directly. The answer key will be on a separate page.

How do I find worksheets at different difficulty levels?

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What skills does this triangles worksheet cover?

This worksheet focuses on triangles, geometric properties, geometry. It is designed for 10th Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.

Can I use this worksheet in my classroom?

Yes. All worksheets on K12Worksheets are free for classroom use. You can print copies for your entire class. With 10 worksheets per subtopic at three difficulty levels, you have plenty of options for differentiated instruction and individualized practice.

How many problems are on this worksheet?

This worksheet contains 15 problems. It typically takes 20-25 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.