Question
135, 148, ?, 184, 207,
236 What will come in place of the question mark (?) in the following series?Solution
ATQ, 135 + 13 = 148 148 + 17 = 165 165 + 19 = 184 184 + 23 = 207 207 + 29 = 236 The following series follows the pattern as: Number + consecutive prime numbers starting with 13
In a right-angled triangle, the hypotenuse is 20 cm, and one of the legs is 12 cm. Find the area of the triangle.
- Find the vertical height from a vertex to the base of an equilateral triangle with a side measuring 12√3 cm.
What is the inradius of an equilateral triangle whose vertical height measures 12√3 cm?
The area of two similar triangles is 361 cm² and 324 cm², respectively. What is the ratio of their corresponding altitudes?
In a right triangle, if the altitude drawn to the hypotenuse divides the triangle into two triangles of equal area, what is the value of the smallest an...
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In an equilateral triangle, the length of the side is 18 cm. A circle is inscribed in the triangle. Find the radius of the circle.
- Determine the perpendicular drawn from a vertex to the opposite side in an equilateral triangle with side length 8√3 cm.
- An equilateral triangle has an altitude of 21√3 cm. Calculate the radius of its incircle.
If two triangles PQR and STU are congruent, then which of the following statement(s) is/are true?
I. PQ = ST
II. ∠PQR = ∠STU
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