SOLUTION: How to construct a triangle RST where RS=10cm, ST=4cm, TR=5cm

Question 1027047: How to construct a triangle RST where RS=10cm, ST=4cm, TR=5cm
Found 2 solutions by richard1234, Theo:
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
You can't.
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
you cannot construct a triangle with those measurements.

the sum of the length of the 2 smaller sides needs to be greater than the length of the largest side.

the difference of the length between the smallest and the largest sides must be smaller than the middle side.

for example:

in a triangle with sides of 3,4,5, .....

3 + 4 = 7 which is greater than 5.

5 - 3 = 2 which is smaller than 4.

that's a valid triangle and can be constructed.

your triangle has sides 4,5,10, .....

4 + 5 = 9 which is not greater than 10.

10 - 5 = 6 which is not smaller than 5.

that's an invalid triangle and cannot be constructed.

here's a video on how to construct a triangle using the length of 3 sides.

if you try to do this with your 4,5,10 triangle, it won't work the sum of the length of the 2 smaller sides is not greater than the length of the third side.

https://www.youtube.com/watch?v=JmwRBPtLbhc
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