Question

1)

Given: Segment GB is a median of Triangle A B C

AG=10

Find the measure of Segment GC


15

20

10

5

____________________________________________

2)

Given: Segment BD is an altitude of Triangle ABC


Find the measure of angle BDC.


85

180

90

Cannot be determined

____________________________________________

3)

The centroid is the intersection of the _______ in a triangle.


medians

angle bisectors

altitudes

perpendicular bisectors

Answer 1

1.10

2.90 degrees

3.Medians

Explanation:

We are given that

1.Segment GB is a median of triangle ABC.

AG=10 units

We have to find the measure of segment GC.

We know that median divides the opposite side of triangle into two equal halves.

Therefore, AG=GC=10 units

2.We are given that segment BD is an altitude of triangle ABC.

We know that altitude BD is perpendicular to side AC.

Therefore,
`\angle BDC=90^(\circ)`

3.Centroid: It is the intersection point of medians where three medians of triangle meet .

Answer:Medians