I think the answer is C hope this would help you
Answer:
See proof below
Step-by-step explanation:
Two triangles are said to be congruent if one of the 4 following rules is valid
- The three sides are equal
- The three angles are equal
- Two angles are the same and a corresponding side is the same
- Two sides are equal and the angle between the two sides is equal
Let's consider the two triangles ΔABC and ΔAED.
ΔABC sides are AB, BC and AC
ΔAED sides are AD, AE and ED
We have AE = AC and EB = CD
So AE + EB = AC + CD
But AE + EB = AB and AC+CD = AD
We have
AB of ΔABC = AD of ΔAED
AC of ΔABC = AE of ΔAED
Thus two sides the these two triangles. In order to prove that the triangles are congruent by rule 4, we have to prove that the angle between the sides is also equal. We see that the common angle is ∡BAC = ∡EAC
So triangles ΔABC and ΔAED are congruent
That means all 3 sides of these triangles are equal as well as all the angles
Since BC is the third side of ΔABC and ED the third side of ΔAED, it follows that
BC = ED Proved
Answer:
<u>The model is 64.62 inches of height or 5.39 feet</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Height of the Willis Tower in Chicago = 1,454 feet
Scale of the model = 2 inches : 45 feet height
2. How tall is the height?
For answering that question, we will use the following expression:
Height of the model = Height of the Willis Tower in Chicago/Scale in feet * Scale in inches
Replacing with the real values, we have:
Height of the model = 1,454/45 *2
Height of the model = 32.31 * 2 = 64.62 inches
64.62 inches/12 = 5.39 feet
<u>The model is 64.62 inches of height or 5.39 feet</u>
