Question
Find the sum of the first and last numbers if the
average of seven continuous numbers is 90.Solution
ATQ,
Let numbers be: (a - 3), (a - 2), (a - 1), a, (a + 1), (a + 2), (a + 3)
Sum = (7a) and average = (7a / 7) = 90
⇒ a = 90
Sum of smallest and largest = (a - 3) + (a + 3) = 2a = 2 × 90 = 180
What is the height of an equilateral triangle if each of its sides is 4√3 cm?
- In triangle XYZ, lines XP and PF are medians of triangle XYZ and triangle XZF respectively. If the area of triangle XPF is 15 cm², calculate the area of t...
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?
- Find the vertical height from a vertex to the base of an equilateral triangle with a side measuring 12√3 cm.
In a right-angled triangle, the two perpendicular sides are 9 cm and 12 cm. What is the radius of the incircle of the triangle?
Area of a triangles with vertices at (2, 3), (-1, 0) and (2, -4) is :
If area of similar triangles ∆ ABC and ∆ DEF be 64 sq Cm and 121 sq cm and EF = 15.4 cm then BC equals
In a ∆ABC, points P, Q and R are taken on AB, BC and CA, respectively, such that BQ = PQ and QC = QR. If ∠ BAC = 75°, what is the measure of &...
In a triangle ABC, AD is the altitude from A to BC. If AD = 12 cm, AB = 13 cm, and AC = 14 cm, find the length of BC.
Find the length of AB, if ΔABC ~ ΔRQP and BC = 14 cm, QP = 7 cm and RQ = 5 cm.
