Answered: In triangle PQR, PT and RS are medians.…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.4: Mathematical Induction

Problem 46E

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Question

In triangle PQR, PT and RS are medians.

How could you prove that all three medians intersect at a certain point?

A. Prove that the median from vertex C in triangle PCR divides triangle PCR into two congruent triangles

B. Prove that QC intersects PR at the midpoint of PR

C. Prove triangle SQC is congruent and equal to triangle TQC

D. Prove that the median from vertex Q in triangle PQR is also an altitude of triangle PQR

In A PQR, PT and RS are medians.
T
P2
How could you prove that all three medians intersect at a certain point?
O A Prove that the median from vertex C' in A PCR divides A PCR into two congruent triangle
B.
Prove that QC intersects PR at the midpoint of PR
OC Prove A SQC A TỌC.
Prove that the median from vertex Q in A POR is also an altitude of A POR
W

Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

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We are given that

In this triangle PQR, $\bar{P T} and \bar{R S} are medians.$

We need to prove that all three medians intersect at a certain point.

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