Kim burns 85 calories per hour hiking. How many calories will Kim burn in h hours?
1 answer:
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There are several ways two triangles can be congruent.
<em> congruent by SAS</em>
<em> congruent by corresponding theorem</em>
In and
(see attachment), we have the following observations
--- Because O is the midpoint of line segment AD
--- Because O is the midpoint of line segment BC
---- Because vertical angles are congruent
---- Because vertical angles are congruent
Using the SAS (<em>side-angle-side</em>) postulate, we have:
Using corresponding theorem,
---- i.e. both triangles are congruent
The above congruence equation is true because:
- <em>2 sides of both triangles are congruent</em>
- <em>1 angle each of both triangles is equal</em>
- <em>Corresponding angles are equal</em>
See attachment
Read more about congruence triangles at:
Answer:
The three iron rods cannot be placed together to form a triangle.
Step-by-step explanation:
We have been given that James has three iron rods. Rod A is 3 feet long, rod B is 8 feet long, and rod C is 13 feet long. We are asked to determine whether the lengths of all rods can be used to form a triangle.
We will use triangle inequality theorem to solve our given problem.
Triangle inequality theorem states that sum of two sides of a triangle must be greater than 3rd side.
Using triangle inequality theorem, we will get inequalities as:
We can see that our 2nd inequality is not true because 11 is not greater than 13.
Since sum of two sides is not greater than 3rd side, therefore, the three iron rods cannot be placed together to form a triangle.