# SSS Postulate

## Trending Questions

**Q.**

An exterior angle of a triangle is 120° and one of the interior opposite angles is 30°. Find the other angles of the triangle.

**Q.**In triangle ABC, AB = AC and angle B = 40o . What is the value of ∠C?

- ∠C = 90o
- ∠C = 40o
- ∠C = 80o
- ∠C = 70o

**Q.**

In each of the following figure, find the value of x:

**Q.**

Find x in the following figure:

**Q.**

If the exterior angles of a triangle are in the ratio 4:5:6, find the ratio of the angles of the triangle.

**Q.**

In the given figure ABCD is a square. Find the measure of ∠CAD.

**Q.**In a ΔPQR, PR2−PQ2=QR2 and M is a point on side PR such that QM⊥PR. Prove that QM2=PM×MR

**Q.**If in two triangles ABC and PQR , AB = PQ, AC = PR and BC = QR then which of the following is correct?

- ΔABC ≅ ΔPQR
- ΔABC = ΔPRQ
- ΔBCA ≅ ΔRQP
- ΔBCA = ΔRQP

**Q.**

Sides BC, CA and AB of a triangle ABC are produced in an order, forming exterior angles ∠ACD, ∠BAE and ∠CBF. Show that ∠ACD + ∠BAE + ∠CBF = 360°.

**Q.**

In the given figure, if AB = AD and CB = CD, then which of the following is true ?

△ABC≅△ADC by SAS postulate

If ∠ABC=x∘, then ∠ADC=x∘

If ∠BAC=y∘, then ∠DCA=y∘

△ABC≅△ADC by SSS postulate

**Q.**

The three sides of a triangle are equal to the corresponding three sides of another triangle, then the triangles are congruent by which condition?

SAS

ASA

SSS

RHS

**Q.**

In △ABC and △XZY, if AB = XZ, BC = ZY and CA = YX, then by which postulate is △ABC congruent to △XZY ?

SSS

SAS

ASA

RHS

**Q.**

In △PQR and △XZY, if PQ = XZ, QR = ZY and RP = YX, then by which postulate is △PQR≅△XZY ?

- SSS
- SAS
- ASA
- RHS

**Q.**

If all sides of one triangle are correspondingly equal to the sides of other triangle, then the triangles are congruent. True/False?

False

True

**Q.**

In the given figure, AC = AD and BC = BD. Which of the following statements are correct?

ΔABC≅ΔABD by SSS postulate

ΔABC≅ΔABD by SAS postulate

∠ACB=∠ADB

AB bisects ∠CAD

**Q.**If in the following figure, AC = CD, AD = BD and ∠C = 52o, then the measure of ∠DAB is:

- 30o
- 32o
- 34o
- 36o

**Q.**

Two interior angles in a triangle are 35° and 40°. Find its corresponding exterior angle.

5°

75°

15°

55°

**Q.**

If AB is perpendicular bisector of CD at P then

CD = BD

CP = PD

AP = PB

AC = AD

**Q.**Find the measure of y in the given figure.

- 30

**Q.**

The exterior angles obtained on producing the base of a triangle both ways are 104° and 136°. Find the angles of the triangle.

**Q.**

In the given figure, if AB = CD and BC = DA, then which of the following is true?

△ABC≅△CDA by SSS postulate

△ABC≅△CDA by SSS postulate

AB // CD

BC // AD

**Q.**In the given figure, if ∠BCA = ∠RPQ = 15o, then ∠PQR is ___.

- ∠PQR = 35o
- ∠PQR = 15o
- ∠PQR = 45o
- ∠PQR =25o

**Q.**

Fill up the blanks to make the following statements true:

(a) Sum of the angles of triangle is ___________.

(b) An exterior angle of a triangle is equal to the sum of ___________ opposite angles.

(c) An exterior angle of a triangle is always ___________ than either of the interior opposite angles.

(d) A triangle cannot have more than ___________ right angle.

(e) A triangle cannot have more than ___________ obtuse angle.

**Q.**In the given figure, prove that: [2 MARKS]

ΔABD≅ΔACD

**Q.**In the figure, if AB = DC and ∠ABO = 35o. What is the value of ∠DCO?

- 25o
- 35o
- 50o
- 70o

**Q.**

Choose the correct answer from the given alternative:

Sum of the three exterior angles of a triangle is _____________.

A. two right angles

B. three right angles

C. one right angle

D. four right angles

**Q.**If D is any point on the side BC of ΔABC such that ΔADB and ΔADC are equal in area, then

- AD is the median
- AD is the altitude
- AD is an angle bisector
- AD is any line

**Q.**

In the adjacent rectangle ABCD, ∠OCD = 30°. Calculate ∠BOC. What type of triangle is BOC?

**Q.**

Using the information given in the figure, find the values of x and y.

x=56°, y=76∘

x=48∘, y=56∘

x=48∘, y=76∘

x=76∘, y=56∘

**Q.**From the information shown in the figure, state the test assuring the congruence of △ABC and △PQR. Write the remaining congruent parts of the triangles.