Posted by Priscilla on Tuesday, May 15, 2007 at 4:34pm.
How do I figure out this question? Is there a formula I need?
For which of the following sets of line segments is it possible to consturct a triangle?
1. Sides of length 17cm, 18 cm,and19 cm
2. Sides of length 11m, 18m, and 6 m
3. Sides of length 46ft, 25ft,and70ft
No side can be greater than the sum of the other two sides.
So that means none of these can construct a triangle then.
relook at 1. Is any side greater than the sum of the two others? What about 3?
I am still kinda of confused on this.
Suppose you want to draw a triangle with sides 10, 3, and 5
first draw a base 10 cm long.
Now set a compass at 5 cm and and with its centre at the end of the line, draw an arc above the line.
Change the radius of your compass to 3 cm, set the centre of the compass at the end of the line and draw another arc above the line.
The intersection of these two arcs will be the third vertex of your triangle.
in the case I gave you those two arcs never meet, so no triangle is possible
This shows the principle that "bobpursely" stated for you.
TO HAVE A TRIANGLE, THE SUM OF ANY OF THE TWO SIDES MUST BE GREATER THAN THE THIRD SIDE
Answer This Question
More Related Questions
- Agent HELP! Trigonometry - An isosceles triangle ABC has two sides 17cm in ...
- Math - triangle abc has sides that are 20 centimeters 38 centimeters and 50 ...
- Geometry - The contrapositive of the following conditional statement: If a ...
- Math...Geometry - Hello, Can someone please tell me if I worked this out correct...
- math - A figure has 2 sets of parallel sides and 4 right angles. All of the ...
- math - Let PSR be a triangle. Let A, B, C be the midpoints of the sides PS, PR ...
- geometry - Theres a right triangle. its hypotenuse is 30. There is a line in the...
- Geometry - An isosceles right triangle has an area of 98cm squared. Find the ...
- geometry heptagon - how many segments does a 7 sides figure have joining the ...
- math - the sum of the lengths of any two sides of a triangle must be greater ...