Question
Rows of Matrix I are numbered 0 to 4 and that of matrix
II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column. e.g ‘Z’ can be represented by 20, 41, 33 and ‘E’ can be represented by 88, 77, 55. Identify the set for the word PEARL.Solution
P - 00 E - 55 A - 22 R - 11 L - 96
In the Figure given below, find the value of x?

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.)?
The area of two similar triangles is 361 cm² and 324 cm², respectively. What is the ratio of their corresponding altitudes?
If two triangles JKL and MNO are congruent, then which of the following statement(s) is/are true?
I. JK = MN
II. ∠JKL = ∠MNO
If two triangles XYZ and ABC are congruent, then which of the following statement(s) is/are true?
I. XY = AB
II. ∠X = ∠A
If two triangles EFG and UVW are congruent, then which of the following statement(s) is/are true?
I. EF = UV
II. ∠FEG = ∠UVW
Find the altitude of an equilateral triangle whose side is 8√3 cm.
If each side of an equilateral triangle is 12 cm, then its altitude is equal to:
- The base of a right pyramid is an equilateral triangle with side 12 cm. If the height of the pyramid is 40√3 cm, calculate the volume of the pyramid.
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.
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