Question
Choose the word which best expresses the same meaning
as the underlined word. The drought in several parts of the city this year led to the onset of various diseases.Solution
Explanation: The word “onset” refers to the beginning of something unpleasant. Here, the best synonym is “outbreak,” which describes a sudden occurrence of diseases.
- Find the distance between the parallel sides of a trapezium whose area is 315 cm² and the lengths of the parallel sides are 15 cm and 21 cm respectively.
- In triangle DEF, GH is drawn parallel to side EF. If DG = 9 cm, GE = 3 cm and DH = 6 cm, find DF.
Find the ratio between the area of an equilateral triangle with side 6 cm and the area of a square with side 6 cm.
Two sides of a triangle are 10 cm and 15 cm. Which of the following can be the third side of the triangle?
Determine the hypotenuse of an isosceles right-angled triangle where each of its equal sides measures 9√7 cm.
Two triangles DEF and XYZ are congruent to each other such that DE = 10 cm, YZ = 24 cm, and ∠DEF = ∠XYZ = 90⁰. Find the circumradius of ΔDEF.
...The sides of a triangle are 13 cm, 14 cm, and 15 cm. What is the area of the triangle?
What is the height of an equilateral triangle with a side length of 12√5 cm?
- Determine the perpendicular drawn from a vertex to the opposite side in an equilateral triangle with side length 8√3 cm.
The inner-radius of a triangle is 5 cm, and the sum of lengths of its sides is 60 cm. What is the area of the triangle (in sq. cm.)?