construct angle pqr with perimeter 9.6 and bisect angle are 30 and 60 degree
Answers
Answer:
How can I construct a triangle XYZ with a perimeter of 9.6cm and base angles 30 degree and 60 degree?
Harish Chandra Rajpoot
Answered November 12, 2018
Answer: Infinitely many triangles can be constructed with given parameters
To construct a unique triangle, it requires at least three parameters to be known as follows
All three sides are known such that longest side is less than the sum of other two sides
Two sides and any one angle
Two angles and any one side
As per given data, two angles are 30∘,60∘ so third angle will be 90∘ . Now perimeter of triangle i.e. sum of three sides say a,b,c (a,b,c∈R) is 9.6cm but individual side is unknown, we have
a+b+c=9.6
The above equation has infinitely many real solutions. Thus we can construct infinitely many triangles with given angles and perimeter.
Answer:
I can't give u the exact answer as u have to do it but I can tell how to do
Step-by-step explanation:
. Draw a line AB = 5.6 cm.
2. With A as centre and radius more than half of AB, draw one above and other below line AB.
3. Similarly, with B as centre draw two arcs cutting the previous drawn arcs and name the points obtained as M and N respectively.
4. Join MN intersecting AB at point O.
MN is the required perpendicular bisector.
AO = OB = 2.8 cm
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