Question about Triangles: Cevians and Notable Points
Subject Mathematics
Mathematics
Source Originais Teachy
Originais Teachy
Topic Triangles: Cevians and Notable Points
Triangles: Cevians and Notable Points
Difficulty Medium
Medium
(Originais Teachy 2023) - Question Medium of Mathematics
In a triangle ABC, a cevian is a line that connects a vertex to a point on the opposite side. Consider a triangle ABC, where D is a point on line BC. The segment AD is a cevian of the triangle. Now, suppose point D divides line BC into segments BD and DC, such that their measures are 3 cm and 5 cm, respectively, and the measure of segment AD is 6 cm. Using Stewart's formula for cevians in a triangle, what is the sum of the squares of the lengths of sides AB and AC?a.
48 cm²
b.
36 cm²
c.
24 cm²
d.
30 cm²
e.
42 cm²
Answer sheet:
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Answer sheet
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