Question
 These days, home décor is exposed to the _______ of
trend and fashion. Choose a suitable word from the options to fill in the blanks.Solution
The word ‘vagaries’ means ‘unexpected events or changes that cannot be controlled and can influence a situation’. Corruption is incorrect here. Trend and fashion cannot be involved in corruption. Inculcate- to fix beliefs or ideas in someone's mind, especially by repeating them often . Embedded- implanted
Find area of a trapezium with parallel sides 12 cm and 18 cm, height 10 cm.
The angles of a triangle are in the ratio 4:5:3. Determine the sum of the smallest and largest angles of the triangle.
In triangle ABC, the lengths of its sides are given as AB = 8 cm, AC = 10 cm, and BC = 12 cm. Determine the length of the median drawn from vertex 'A' t...
What is the inradius of an equilateral triangle whose vertical height measures 12√3 cm?
- Find the altitude of an equilateral triangle whose side is 8√3 cm.
- Determine the area of a triangle if its base measures 19.2 cm and its corresponding height is 24.5 cm.
What is the height of an equilateral triangle with a side length of 16√11 cm?
In triangle ABC, DE is drawn parallel to BC, meeting AB at D and AC at E. If AD : DB = 3 : 2 and the area of triangle ADE is 45 cm², find:
(a) t...
What is the length of the hypotenuse in an isosceles right-angled triangle if one of its equal sides measures 6√2 cm?
The areas of two similar triangles XYZ and LMN are 400 cm² and 100 cm² respectively. If side XY = 30 cm, find the corresponding side LM.