# Construction of a Triangle with ASA Criterion

## Trending Questions

**Q.**

In which of the following cases, a unique triangle can be drawn .

$\mathrm{AB}=4\mathrm{cm},\mathrm{BC}=8\mathrm{cm},\mathrm{CA}=2\mathrm{cm}$

$\mathrm{BC}=5.2\mathrm{cm},\angle \mathrm{B}=90\xb0,\angle \mathrm{C}=110\xb0$

$\mathrm{XY}=5\mathrm{cm},\angle \mathrm{X}=45\xb0,\angle \mathrm{Y}=60\xb0$

An isosceles triangle with the length of each equal side $6.2\mathrm{cm}$.

**Q.**How we are getting angles ∠1+∠2+∠3=180

**Q.**For the construction of a triangle, we need measures of two angles and ___ included side.

- zero
- one
- two
- three

**Q.**

Given below is a line segment. Draw one line segment congruent to it

**Q.**Construct ΔKLM such that KL = 9 cm, KM = 8 cm, and ∠K = 35°. Find the length of LM.

- 4.2 cm
- 5.2 cm
- 5.7 cm
- 6.2 cm

**Q.**Construct a ΔABC in which BC = 6 cm, ∠B = 35∘and ∠C = 100∘

**Q.**

Raman had to draw an isosceles triangle with base angles as 65∘ each and base length of 5cm. Raman said the given data is insufficient. Is he correct?

True

False

**Q.**

Is it possible to construct a unique quadrilateral ABCD with AB = 5cm, BC = 6cm, CD = 7cm , ∠ABC = 45∘ and ∠BCD = 55∘?

Yes, it is possible

No, it is impossible

With the measure of a diagonal, yes

With the measure of an extra side, yes

**Q.**how to know that the triangle is acute obtuse or right angled if value of three sides is given

**Q.**

Construct $\u25b3\mathrm{ABC}$ in which $\mathrm{BC}=6.2\mathrm{cm}$, $\angle \mathrm{B}=45\xb0$, $\angle \mathrm{A}=35\xb0$. Measure $\angle \mathrm{C}$. What kind of this triangle is this?

**Q.**Construct Δ PQR if PQ=5cm, ∠PQR=105∘ and ∠QRP=35∘.

**Q.**Construct a triangle PQR in which QR=7cm, ∠Q=75o and PQ+PR=13cm

**Q.**Construct a △PQR such that ∠P=30∘, ∠Q=60∘ and PQ=10 cm.

**Q.**

3 sides and any 2 angles are sufficient to construct a quadrilateral.

True

False

**Q.**Construct a triangle of whose side lengths are 4 cm, 5 cm, 7 cm.

**Q.**Construct ΔXYZ such that XY = 8 cm, ∠X = 40°, and ∠Y = 95°. Find the length of YZ.

- 8.3 cm
- 7.3 cm
- 8.8 cm
- 9.3 cm

**Q.**

Construct $\u25b3HAT$ such that $HA=AT=5cm$ and$\angle A=60\xb0$. What are the measures of other two angles of the triangles? What type of triangle is this?

**Q.**Which of the following steps is INCORRECT while constructing △XYZ if it is given that XY=6cm, ∠ZXY=30o and ∠XYZ=100o

Step 1: Draw line XY of length 6cm.

Step 2: At X, draw a ray XP making an angle of 30o with XY.

Step 3: At Y, draw a ray YQ making an angle of 100o with YX.

Step 4: The point of intersection of the two rays XY and YQ is Z.

- Step 1
- Step 2 and Step 4
- Step 3
- Step 4

**Q.**

Construct:

ΔPQR if PQ=5cm, ∠PQR=105∘ and ∠QRP=40∘.

(Hint : Recall angle-sum property of a triangle),

**Q.**

Fill $can/cannot$in the given blank.

We ________ construct a triangle $\u2206PQR$when $PQ=7.2cm,$$m\angle R={60}^{o}$and $PR=5.7cm$

**Q.**Construct Δ PQR if PQ=5cm, ∠PQR=105∘ and ∠QRP=35∘.

**Q.**

- 1
- 2
- 3
- none of these

**Q.**Construct a triangle XYZ in which XY=4.5cm and ∠X=100∘ and ∠Y=50∘ using ruler and protractor.

**Q.**

Which of the following data is not sufficient to draw a unique triangle?

Side, Side, Angle

Side, Angle, Side

Angle, Angle, Angle

Angle, Angle, Side

**Q.**

- 1
- 2
- none of these
- 3

**Q.**Construct a triangle ABC in which AB=6.5cm, ∠A=45∘ and ∠B=60∘

**Q.**Construct an equilateral triangle whose sides are of length 5.5 cm.

**Q.**Construct a triangle △MNO where ∠M=70o, ∠N=60o and side MN=7 cm.

**Q.**

Raman had to draw an isosceles triangle with base angles measuring 65∘ each and base length of 5cm. Raman said the given data is insufficient. Is he correct?

True

False

**Q.**In Δ RST, RS = 5 cm, ∠SRT=45∘ and ∠RST=45∘. Which criterion can be used to construct ΔRST?

- A.S.A. criterion
- S.A.S. criterion
- S.S.S. criterion
- A.A.S. criterion