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Chapter 10: Q5. (page 388)

Refer to the diagram in which the medians of a triangle are shown.

If PB=1.9,then AB=?,AP=? .

Short Answer

Expert verified

AP=3.8,AB=5.7

Step by step solution

01

Step 1. Given information:

Medians of the triangles are shown in the given figure:

PB=1.9

02

Step 2. Concept used.

Centroid and median relation of a triangle.

03

Step 3. applying the concept.

Medians divide the midpoint in the ratio 2:1.

Here,APBP=21.

Here,

role="math" localid="1649119919240" APPB=21

鈭�AP=21脳1.9=3.8AB=AP+PB=3.8+1.9=5.7

Therefore the final answer is 5.7

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Most popular questions from this chapter

Describe how you would construct each of the following:

The altitude of 螖ABC that contain vertexA.

a. Draw an acute triangle. Construct the perpendicular bisector of each side.

b. Do the perpendicular bisectors intersect in one point?

c. Repeat pairs (a) and (b) using an obtuse triangle.

On your paper draw figures roughly like those shown. Use them in constructing the figures described in Exercise 17-24.

A segment of length a2+b2

The medians of 鈻�DEFare shown. Find the lengths indicated.

  1. EP=?
  2. PR=?
  3. If FT=9, then PT=?and FP=?

On your paper, draw two segments roughly like those shown. Use these segments in Exercise 1-4 to construct a segment having the indicated length. a+b
See all solutions

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