From 3 given points how to calculate the triangle is acute angled triangle
Answers
Answer:
Step-by-step explanation:
HEY!
1. An acute triangle, PQR, has all three angles as acute.
2. The perpendicular bisectors of the three sides of PQR intersect at the circumference of the circle.
3. The medians drawn from P, Q and R intersect at the centroid of the triangle.
4. The circumcenter will always lie inside the triangle.
5. The angle bisectors of the three angles of PQR, intersect at the incenter of the circle. With that incenter a circle can be drawn to touch the three sides internally.
6. Each of the three medians will split the triangle PQR into two smaller triangles of the same area.
7. If three sides are given the triangle can be drawn.
8. If three angles are given a similar triangle can be drawn.
9. If three sides are given the area of the triangle can be calculated.
10. If two sides and the included angle are given the area of the triangle can be calculated as (ab/2)*sin C.
11. Join the midpoints of the three sides, and you get 3 parallelograms of the same area.
12. Join the midpoints of the three sides, and you get 4 triangles of the same area.
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