Construction of a Triangle with SAS Criterion
Trending Questions
Question 3
Construct ΔABC with BC = 7.5 cm and ∠C=60∘, and AC = 5cm.
Question 2
Construct Δ PQR if PQ=5cm, ∠PQR=105∘ and ∠QRP=40∘.
Statement 1: It is possible to construct a triangle when measurements of two sides and one angle are given.
Statement 2: It is possible to construct a triangle when measurements of two sides and included angle are given.
Choose the correct option.
Statement 1 is right and Statement 2 is wrong
Statement 2 is right and Statement 1 is wrong
Both the statements are false
Both the statements are correct
Akash was given lengths of two sides and the measure of an angle which is not included between the two sides. But still he was able to draw the triangle. So what should be the angle that was given? (in degrees)
Things required for accurate construction a triangle are
Pencil, Ruler, compass, protractor
Pencil, Ruler, compass
Only pencil
Pencil, Ruler
- ∠POQ
- ∠OQP
- ∠QPO
- None of the above
Draw a triangle ABC with side BC=6 cm, AB=5 cm and ∠ABC=60∘, Then construct a triangle whose sides are 34 of the corresponding sides of the triangle ABC.
The minimum number of triangles that can be drawn if two sides and one angle has been given is
Which of the following criterion cannot be taken as a prerequisite for the construction of triangles?
ASA
AAA
SSS
SAS
You are given the measurement of the two legs of a right angled triangle. What else do you need in order to draw a triangle?
Length of the third side
Measure of one angle
Either length of one side or measure of one angle
Do not need anything else as the triangle can be constructed with the help of the given data
A student of class VII attempts to make a triangle of dimension 2 cm, 3 cm and 6 cm. He drew the longest side first, thereby generating two vertices of the triangle. He could not get the third vertex. What could be the reason?
No angle of the triangle is given
The sum of two sides is less than the third side
The first step is wrong
He does not know to draw the arc
Steps for its construction is given in a jumbled form. Identify its correct sequence.
1) At A, construct a line segment AE, sufficiently large, such that ∠BAE=75∘, use protractor to measure 75∘.
2) Draw a line segment which is sufficiently long using ruler.
3) With A as centre and radius 6.5 cm, draw an arc cutting AE at C. Join BC. Hence, ABC is the required triangle.
4) Locate points A and B on it such that AB=5.5 cm.
- 2, 1, 4, 3
- 2, 4, 1, 3
- 4, 2, 1, 3
- 1, 2, 4, 3
AB=5.4 cm, AC=5 cm and ∠A=45o.
Statement 1: It is possible to construct a unique triangle when the measurements of two sides and non-included angle are given.
Statement 2: It is possible to construct a triangle when the measurements of two sides and included angle are given.
Choose the correct option.
- Both the statements are false
- Statement 1 is right and Statement 2 is wrong
- Statement 2 is right and Statement 1 is wrong
- Both the statements are correct
Pallav got following question in his exam:
Given the base angles, say ∠ B and ∠ C and BC + CA + AB, construct triangle ABC.
He followed the following steps for the construction.
1. Draw a line segment, say XY equal to BC + CA + AB.
2. Make ∠ LXY equal to ∠ B and ∠ MYX equal to ∠ C.
3. Bisect ∠ LXY and ∠ MYX. Let these bisectors intersect at a point A
4. Draw perpendicular bisectors PQ of AX and RS of AY.
5. Let PQ intersect XY at B and RS intersect XY at C. Join AB and AC
False
True
- Yes
- No, the triangle should have at least two acute angles.
- No, the triangle should have at least three acute angles.
- None of the above
In an isosceles ΔABC, ∠A is 30∘. The sides AB and AC are equal. Using constructions, find which side of ΔABC is the shortest.
BC
AC
Data Insufficient
AB
Which of the following methods or concepts is not used in either method for Triangle construction 1?
- (a) and (b) above.
- None of the above
Perpendicular Bisector
Isoceles Triangle
Is it possible to construct an equilateral triangle without using protractor? Why is the method of 60∘ angle construction the best method for this?
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