Triangles in triangles
Q01. Diagram
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Q02. Triangles with 3 given sides
Construction
- 1. Draw line BC = side a
- 2. Draw a circle with center at B and radius = c
- 3. Draw a circle with center at C and radius = b
- 4. Two circle meet at point A
- 5. Join AB and AC
- 6. Triangle ABC is the answer
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Q03. Draw triangle with given 3 heights
- Let 3 heights be h1, h2, h3 and area = m
- Area = base*height/2
- Hence p = m/h1, q = m/h2, r = m/h3
- Since p, q, r are 3 given sides (h1, h2, h3, m are given)
- Hence we can construct triangle PQR
- Then we draw a similar triangle ABC with sides h1, h2, h3
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Q04. Questions
- Q1. What is height of a triangle ?
- Q2. What is area of triangle in terms one height ?
- Q3. What are the properties of two similar triangles ?
- Q4. What is orthocenter of a triangle ?
- Q5. What is a pedal triangle of a triangle ABC ?
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