1. A median of a triangle joins a vertex to the ____ of the opposite side.
- Amidpoint
- Bend point
- Cnearest point
- Dany point
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Answer: A) midpoint
By definition, a median joins a vertex to the midpoint of the opposite side.
Class 7 Medians and Altitudes — practice questions with answers
Triangles · 5 sample questions from the school syllabus. Try each one, then open the answer and the worked solution.
2. Which line segment of a triangle always passes through the midpoint of the opposite side?
- Amedian
- Baltitude
- Cperpendicular
- Dtangent
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Answer: A) median
A median always passes through the midpoint of the opposite side.
3. The foot of an altitude is the point where the altitude meets the opposite side. For an acute triangle, every foot of altitude lies:
- Aon the side, between its endpoints
- Bon the extension of the side
- Cat a vertex
- Doutside the triangle
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Answer: A) on the side, between its endpoints
In an acute triangle all altitudes fall inside, so each foot lies on the side itself between the two endpoints.
4. Triangle ABC has area 30 sq cm. AD is the median to BC.
What is the area (in sq cm) of triangle ABD?
What is the area (in sq cm) of triangle ABD?
- A30
- B16
- C14
- D15
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Answer: D) 15
A median divides a triangle into two triangles of equal area, so area of ABD = 30 / 2 = 15 sq cm.
5. Rahul draws triangle ABC where median AD is also drawn. He notes AB = 6 cm, AC = 6 cm, BC = 8 cm and finds AD. The median AD here is also the altitude.
Find AD² (in sq cm).
Find AD² (in sq cm).
- A40
- B22
- C18
- D20
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Answer: D) 20
Since AB = AC, AD is perpendicular and bisects BC, so BD = 4. AD² = AB² - BD² = 36 - 16 = 20 sq cm.
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