Question
If total number of factors of 1,800 is 'x', then find
the value of (x - 8) (x + 4).Solution
Factors of 1,800 = 2³ × 3² × 5² So, total number of factors = (3 + 1) (2 + 1) (2 + 1) = 4 × 3 × 3 = 36 Required value = (x - 8) (x + 4) = 28 × 40 = 1120
The area of a triangle is 216 cm² and the ratio of its sides is 9: 12: 15. What is the perimeter of the triangle?
In triangle ABC, vertices are A(2, 3), B(8, 5) and C(4, −1). Find the coordinates of the centroid and the length of the median from A.
A triangle has sides 13 cm, 14 cm, and 15 cm. Find the area of the triangle.
- Calculate the area of a triangle whose base is 19.5 cm and the height corresponding to it is 13.7 cm.
If two triangles EFG and UVW are congruent, then which of the following statement(s) is/are true?
I. EF = UV
II. ∠FEG = ∠UVW
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.)?
What is the height of an equilateral triangle if each of its sides is 4√3 cm?
Find the altitude of an equilateral triangle whose side is 8√3 cm.
∠A, ∠B, and∠C are three angles of ∆ABC.if ∠A-∠B=15°, ∠B-∠C =30°,then ∠A, ∠B and ∠C are?
A triangle has sides 13 cm, 14 cm, and 15 cm. What is the radius of its incircle?
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