Answer: The proof is mentioned below.
Step-by-step explanation:
Here, Δ ABC is isosceles triangle.
Therefore, AB = BC
Prove: Δ ABO ≅ Δ ACO
In Δ ABO and Δ ACO,
∠ BAO ≅ ∠ CAO ( AO bisects ∠ BAC )
∠ AOB ≅ ∠ AOC ( AO is perpendicular to BC )
BO ≅ OC ( O is the mid point of BC)
Thus, By ASA postulate of congruence,
Δ ABO ≅ Δ ACO
Therefore, By CPCTC,
∠B ≅ ∠ C
Where ∠ B and ∠ C are the base angles of Δ ABC.
Answer:
The correct length is <em>34 feet</em>.
Step-by-step explanation:
Let us assume that the wall created is a rectangle <em>ABCD</em> as shown in the attached image.
We know that opposite sides of a rectangle are equal.
<em>Perimeter</em> of a <em>closed figure is calculated by adding all the sides of the figure</em>.
Here, from the figure, the perimeter is : AB + BC + CD + DA
AB and CD are equal to length.
BC and DA are equal to width.
So,
Here, we are given that <em>perimeter </em>is 100 feet and <em>width</em> = 16 feet
Putting values in equation (1):
Hence, length is 34 feet.
