In ΔABC, AB = 2.5 cm and BC = 6 cm. Then, the length of AC cannot be
in triangle ABC
AB = 2.5 cm
BC = 6 cm
AC = ?
in any triangle sum of two sides > third side
=> AB + BC > AC
=> 2.5 + 6 > AC
=> AC < 8.5
AB + AC > BC
=> 2.5 + AC > 6
=> AC > 3.5
BC + AC > AB
=> 6 + AC > 2.5
=> AC > -3.5
Taking all together
3.5 < AC < 8.5
3.6 , 3.8 & 4 lies betwenn them
but not 3.4
Hence Length of AC can not be 3.4 cm
In figure, ABCD is a quadrilateral in which AB = BC and AD = DC. Measure of ∠BCD is:
In the adjoining figure, △ABC ≅ △ADC. If ∠BAC = 30∘ and ∠ABC = 100∘ then ∠ACD is equal to
It is not possible to construct a triangle when the lengths of its sides are
In fig, AC = BC and ∠ACY = 140∘. Find X and Y:
In △ABC and △DEF, AB = DE and ∠A = ∠D.Then two triangles will be congruent by SA axiom if:
D is a Point on the Side BC of a △ABC such that AD bisects ∠BAC then:
In the adjoining figure, O is Mid – point of AB. If ∠ACO = ∠BDO, then ∠OAC is equal to
In the adjoining fig, AD = BC and ∠BAD = ∠ABC. If ∠BAD = 120∘ and ∠ABD = 35∘, then ∠CAD is
In fig. which of the following statement is true?
In △ABC, ∠A = 35∘ and ∠B = 65∘, then the longest side of the triangle is:
In △ABC, if ∠A = 45∘ and ∠B = 70∘, then the shortest and the longest sides of the triangle are respectively,
In the adjoining figure, AB = BC and ∠ABD = ∠CBD, then another angle which measures 30∘ is
The two triangles are congruent by SAS congruency.
ABC ≅ △PQR. If AB=5 cm, and then which of the following is true?
In fig., △ABD ≅ △ACD, AB = AC, name the criteria by which the triangles are congruent:
P is a point on side BC of a △ABC such that AP bisects △BAC. Then
In the adjoining figure, AB = AC and ∠A = 70∘, then ∠C is
In the adjoining figure, AC = BD. If ∠CAB = ∠DBA, then ∠ACB is equal to
In △ABC, if ∠B = 30∘ and ∠C = 70∘, then which of the following is the longest side?
In fig, in △ABD, AB = AC, then the value of x is:
In the given figure, AD is the median, then ∠BAD is:
In the adjoining fig, PQ = PR. If ∠QPR = 48∘, then value of x is:
In the adjoining figure, ABCD is a quadrilateral in which AD = CB and AB = CD, then ∠ACB is equal to
In the adjoining figure, PQ > PR. If OQ and OR are bisectors of ∠Q and ∠R respectively, then
In the adjoining fig, AD = BC and ∠BAD = ∠ABC. If ∠BAD = 120∘ and ∠ABD = 35∘, then ∠CAD is
Video | 10:03 min
Video | 08:48 min
Video | 01:07 min
Test | 20 questions | 40 min
Test | 20 questions | 40 min
Test | 20 questions | 40 min
Test | 10 questions | 20 min
Test | 10 questions | 20 min