Question

Complete the following proof.

Given:
PT _l_ RT

https://media.glynlyon.com/g_geo_2013/4/page55a.gif

Prove:
PT < PR

Answer 1

@ganeshie8

Answer 2

@Somy

Answer 3

omg pure geometry im so sorry this is my nightmare (proving)

Answer 4

if it was numbers i'd use Pythagoras Theorem to prove

Answer 5

Use the relationship of a triangle.
The sum of the interior angles of a triangle is 180 degrees.
In a right triangle the 90 degree (right angle) is the largest as the remaining two must sum up to 90 degrees.
In a triangle the side opposite the largest angle is the longest.

http://www.wyzant.com/resources/lessons/math/geometry/triangles/inequalities_and_relationships

Answer 6

its fine @Somy

Answer 7

Segment PR is opposite the right angle, hence it is opposite the largest angle, therefore it is the longest.

Answer 8

Is that table the format they desire for your proof?

Answer 9

yep

Answer 10

on the statement side
1.PT _l_ RT

Answer 11

right?

Answer 12

1. PT _|_ RT
2. <PTR is right angle
3. < PTR >(greater than < TRP
and so on.

Yes you have started of right.

Answer 13

so 2. PTR is rt angle?

Answer 14

PTR and angle are the word i need to put in the blanks/?

Answer 15

words*

Answer 16

@radar

Answer 17

@marshallinwashington

Answer 18

The words for the reason column, complete the left side.

Answer 19

Did you look at the link?

Answer 20

My first post had a narrative for the proof.

Answer 21

i already got it:) thnx 4 the help nd the link:))

Answer 22

Good luck with your studies.

Answer 23

thnx:)