In figure two line segments AC and BD intersect each other at a point P such that PA = 6 cm, PB = 3 cm, PC = 2.5 cm, PD = 5 cm, ∠APB = 50° and ∠CDP = 30°. Then ∠PBA is equal to
70o
80o
90o
100o
The areas of two similar triangles are 81 cm2 and 49 cm2 respectively. If the altitude of the first triangle is 6.3 cm then the corresponding altitude of the other is.
4.9 cm
9.4 cm
49 cm
9.2 cm
If ABC is an acute angled triangle, acute angled at B and AD ⊥ BC, then AC2 =
AB2 + BC2 - 2BC.BD
AB2 + BC2
AB2 + BC2 + 2BC.BD
AB2 - BC2
In figure PQ = 24 cm, QR = 26 cm, ∠PAR = 90o, PA = 6 cm and AR = 8 cm. The value of ∠QPR is.
60o
110o
ABC and BDE are two equilateral triangles such that D is the midpoint of BC. Ratio of the areas of triangles ABC and BDE is.
2 : 1
1 : 2
4 : 1
1 : 4
In given figure DE || BC and AD/DB = 3/5. If AC = 4.8 cm, Find AE.
2 cm
1.8 cm
3 cm
3.2 cm
If two polygons are similar then their sides are
Equal
Congruent
Proportional
Both 1 and 2
In ΔABC and ΔDEF, ∠B = ∠E, ∠F = ∠C and AB = 2DE, then two triangles are
Equivalent
Similar
None of these
If ratio of areas of two similar triangle is 9 : 16 then ratio of their medians is
3 : 4
4 : 3
3 : 1
In figure, DE || BC, AD = 2cm, BD = 2.5 cm, AE = 3.2 cm. Determine AC.
6
4
6.2
7.2