If Two Angles of a Triangle Are Unequal Then the Side Opposite to the Greater Angle Is Greater Than the Side Opposite to Smaller Angle

Q.

Two angles measure a-60 and 123-2a.if each one is opposite to equal sides of an isosceles triangle, then find the value of a

Q.

In $△$ABC, if $\angle$A = ${45}^{\circ }$ and $\angle$B = ${70}^{\circ }$, then the shortest and the longest sides of the triangle, respectively, are:

1. None of these

2. AB, AC

3. AB, BC

4. BC, AC

Q.

Prove that the sum of any two sides of a triangle is greater than twice the length of median drawn to the third side

Q.

If two angles of a triangle are unequal, then side opposite to smaller side is larger. True or False.

1. True

2. False

Q. There is a triangle in which 2 angles are unequal. The side opposite to the greater angle is greater than the side/s opposite to _______ angle/s .

1. Smaller
2. smaller and third
3. None of the above
4. Third

Q. PQRS is a quadrilateral in which diagonals PR and QS intersect at O. Prove that PQ + QR + RS + SP < 2 (PR + QS).

Q. How deal with problems based on inequalities of a triangle? Give tips and short cuts to solve problems based on inequlaties of a triangle. Sir help me.

Q. In a Δ ABC, if ∠A = 120° and AB = AC. Find ∠B and ∠C.

Q.

Q.

Prove that difference of 2 sides of a triangle is lesser than the 3rd side.

Q. In ∆PQR, if S is any point on the side QR, show that PQ + QR + RP > 2PS.

Q. In a triangle ABC, if AB = AC and AB is produced to D such that BD = BC, find ∠ACD: ∠ADC.

Q. There is a triangle in which 2 sides are unequal. The angle opposite to the greater side is greater than the angle/s opposite to _______ side/s .

1. Smaller
2. Third
3. None of the above
4. smaller and third

Q.

Consider a right triangle ABC, right-angled at B. Then,

1. AC

2. AB

3. BC

4. None of these

Q.

In a $△$ABC, $\angle$ABC = ${30}^{\circ }$ and $\angle$ACB = ${45}^{\circ }$. Which is the longest side in this triangle?

1. AB
2. BC
3. CA
4. All are same in length

Q.

For the triangle below, which option correctly gives an arrangement of its sides in ascending order of their lengths?

1. AB, BC, CA

2. AB, CA, BC

3. CA, BC, AB

4. AC, AB, BC

Q. In the given figure, point S is any point on side QR of $∆$PQR Prove that : PQ + QR + RP > 2PS

Q.

In $△ABC$, if AC $>$ AB, then which of the following options are correct?

1. C = B

2. None of these

3. C B

4. C B

Q. In the given figure, PQ>PR. QS and RS are the bisectors of $\angle Q$ and $\angle R$, respectively then which of the following is true?

1. $\angle SRQ<\angle SQR$
2. $SQ=SR$
3. None of these
4. $SQ>SR$

Q. In the fig 2.46 seg SK $\parallel$ seg MP $\parallel$ seg TN. Are $△$SAK, $△$MAP and $△$TAN similar? If yes, state the test of similarity.

Q.

In $△$ABC, AC $>$ AB and AD bisects $\angle$A. Which of the following option is correct?

1. $\angle ADC$ $>$ $\angle ADB$

2. $\angle ADC$ = $\angle ADB$

3. $\angle ADC$ $<$ $\angle ADB$

4. Can't say

Q. In Δ ABC, ∠B = 35°, ∠C = 65° and the bisector of ∠BAC meets BC in P. Arrange AP, BP and CP in descending order.

Q.

In $△$ABC, AC $>$ AB and AD bisects $\angle$A. Which of the following option is correct?

1. ADC = ADB

2. None of these

3. ADC ADB

4. ADC ADB