Question
What will come in place of question mark [?] following
the same pattern as given below?Solution
The logic followed here is as follows. The sum of the squares of all the number that are given around the triangle is written in the middle of the triangle. In triangle 1 [7, 12, 17, 630] → 7² + 12² + 17² = 49 + 144 + 289 = 482 Similarly, in triangle 2 [11, 15, 13, ?] → 11² + 15² + 13² = 121 + 225 + 169 = 515
Find the inradius of an equilateral triangle whose altitude is 9√3 cm.
The vertices of triangle ABC are A(2, 3), B(8, 5) and C(5, −1). Find the coordinates of the centroid of the triangle.
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.
...If the ratio of areas of two similar triangles is 25:49, then the ratio of their corresponding sides is?
The perimeter of an equilateral triangle is 48√3 cm. Find its height.
- In triangle GHI, JK is drawn parallel to side HI. If GJ = 7 cm, JH = 2 cm, and GK = 14 cm, find GI.
If the inradius of a triangle with a perimeter of 60cm is 8 cm, then find the area of the triangle.(in cm2)
An equilateral triangle ABC is surmounted on a square BCDE whose area is 500 cm². Find the altitude of triangle ABC.
In the given figure, AB ∥ QP, AB = x, PQ = x + 10, RB = x/2, BP = x + 1. Find PQ.
A triangle has sides 13, 14, 15. Find its area.
