Construct a triangle ABC where BC =4cm ,B=60° and AB+AC=6cm
1 answer:
Answer:
Below is the step-by-step explanation.
Step-by-step explanation:
To determine:
Construct a triangle ABC
Information Fetching and Information Steps:
From the given data,
Procedure:
- First draw a line segment
- Then construct angle of
∠
at
on
.
- Taking
radius, draw an arc which cuts the ray of
.
- Then Join
.
- The draw a perpendicular bisector of
.
- Wherever this perpendicular bisector intersect
, name that point as
- Join
and
Thus, ∆ will be a required triangle.
Keywords: triangle, perpendicular bisector, angle
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1- Solution using graphs:
Take a look at the attached images.
The red graph represents the first given function while the blue graph represents the second given function.
We can note that the two graphs are the same line (they overlap).
This means that any chosen point on one of them will satisfy the other.
This means that there are infinite number of solutions to these two equations.
2- Solution using substitution:
The first given equation is:
y = -5x + 3 ...........> equation I
The second given equation is:
2y + 10x = 6 ...........> equation II
Substitute with I in II and solve as follows:
2(-5x+3) + 10x = 6
-10x + 6 + 10x = 6
0 = 0
This means that there are infinitely many solutions to the given system of equations.
Hope this helps :)
Take a look at the attached images.
The red graph represents the first given function while the blue graph represents the second given function.
We can note that the two graphs are the same line (they overlap).
This means that any chosen point on one of them will satisfy the other.
This means that there are infinite number of solutions to these two equations.
2- Solution using substitution:
The first given equation is:
y = -5x + 3 ...........> equation I
The second given equation is:
2y + 10x = 6 ...........> equation II
Substitute with I in II and solve as follows:
2(-5x+3) + 10x = 6
-10x + 6 + 10x = 6
0 = 0
This means that there are infinitely many solutions to the given system of equations.
Hope this helps :)