Answer:
c = 730cm
Step-by-step explanation:
The first thing we would do is to draw the diagram using th given information.
Find attached the diagram.
a = 714 cm
the measure of angle A = 78°
To determine c, we would apply sine rule. This is because we know the opposite and we are to determine the hypotenuse
sin78 = opposite/hypotenuse
sin 78 = 714/c
c = 714/sin 78 = 714/0.9781
c= 729.99
c≅ 730 cm ( nearest cm)
The correct answer is option A which is ZA = 3 cm
<h3>What is the triangle?</h3>Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.
The triangle is shown below.
From the triangle, A is the concurrency point of angle bisectors of all vertices.
Consider ΔAYD,
Using the Pythagorean theorem,
AD² = AY² + YD²
5² = AY² + 4²
25 = AY² + 16
AY² = 25 - 16
AY² = 9
AY = √9 = 3 cm
Consider triangles ADY and ADZ.
∠AYD ≅∠AZD=90
∠ADY≅∠ADZ ( Angle bisector)
AD ≡ AD (common side)
The two triangles are congruent by the AAS postulate.
Therefore, by CPCTE, AY=ZA=3 cm
To know more about triangles follow
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For this case we have a quadratic polynomial given by:
Where:
We must factor, for this we follow the steps below:
Step 1:
The term of the medium must be rewritten as the sum of two terms, whose sum is -7 and the product is :
Then, the term of the medium, fulfilling the two previous conditions, can be written as:
We check:
So, we have:
Step 2:
The maximum common denominator (the largest integer that divides them without leaving residue) of each group is factored
Step 3:
We take common factor :
Thus, the expression can be factored as:
Answer: