SOLUTION: hey!i am now taking geometry and i came across these questions can you help? 1.if two sides of a triangle 7" and 5",then the third side must be less than____? greater than___

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Question 171590: hey!i am now taking geometry and i came across these questions can you help?
1.if two sides of a triangle 7" and 5",then the third side must be less than____? greater than____?

2.if the length of the median to the hypotenuse of a right triangle is 6 inches long, than the length of the hypotenuse is ____?
3.if a base angle of an isosceles triangle is 16 inches more than half of the measure of its vertex angle, than the vertex angle is ___?
please help thank you!!
Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website!
Geometry involves a lot of picturing things in your head
(1) Imagine these lines laid one on top of the other.
The difference in their lengths is
Now hold the end where they both start fixed. Rotate
the smaller line very slightly. You've got a triangle
that is something like 7, 5, 2.0001
In order to have a triangle at all, the 3rd side has to
be greater than
Now keep the point where they meet fixed and rotate the
smaller line until it's directly opposite from where it
started (180 degree rotation). Now rotate the smaller line
very slightly backwards. Now you have a triangle that looks
like 7,5, 11.999
From this you see the 3rd side has to be less than
(2) Sorry, don't have time
(3) Stated wrong. Inches is not a measure of an angle
Angles are measured in degrees

SOLUTION: hey!i am now taking geometry and i came across these questions can you help? 1.if two sides of a triangle 7" and 5",then the third side must be less than____? greater than____?

SOLUTION: hey!i am now taking geometry and i came across these questions can you help? 1.if two sides of a triangle 7" and 5",then the third side must be less than? greater than?