Question
Select the option in which the numbers are related in
the same way as are the numbers in the given set. (109, 114, 139)Solution
The difference between 114 - 109 = 5, 52 = 25 and difference between 139 - 114 = 25. The difference between 318 - 313 = 5, 52 = 25 and difference between 343 - 318 = 25.
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.
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