A bag contains only red, green, brown and yellow marbles.
1 answer:
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Answer:
See proof below
Step-by-step explanation:
Consider triangle with midpoints D, E, F of the sides BC, AC and AB, respectively. If D, E and F are midpoints of the sides BC, AC and AB, then
- EA=CE;
- DC=DB;
- FA=BF.
Triangle ABC is equilateral triangle, then
- m∠ABC=m∠ACB=m∠BAC=60°;
- AB=BC=AC.
If AB=BC=AC, then EA=CE=FA=BF=DC=DB.
By SAS theorem, ΔFAE≅ΔDCE≅ΔEBD.
Congruent triangles have congruent corresponding sides, then
EF=FD=DE. This means that triangle DEF is equilateral.
Answer: Distance = √145
Concept:
Here, we need to know the concept of the distance formula.
The distance formula is the formula, which is used to find the distance between any two points.
If you are still confused, please refer to the attachment below for a clear version of the formula.
Solve:
<u>Given information</u>
(x₁, y₁) = (4, -9)
(x₂, y₂) = (5, 3)
<u>Given formula</u>
<u>Substitute values into the formula</u>
<u>Simplify values in the parentheses</u>
<u>Simplify exponents</u>
<u>Simplify by addition</u>
Hope this helps!! :)
Please let me know if you have any questions
