Question
After 6 years, the sum of the ages of 'Karan' and 'Amit'
will be 70 years. Fifteen years ago, Karan was 12 years younger than Amit. What will be Amitβs age 6 years from now?Solution
ATQ,
Let present ages be:
Karan = p
Amit = q
(p + 6) + (q + 6) = 70
β p + q = 58 βββ (i)
p - 15 = q - 15 - 12
β p = q - 12 βββ (ii)
(q - 12) + q = 58
2q = 70
q = 35
Amit's age in 6 years = 35 + 6 = 41 years
The altitude of an equilateral triangle is 6β3 cm. Find the area of the equilateral triangle.
Calculate the hypotenuse of an isosceles right-angled triangle where the equal sides are 8β6 cm each.
Find the area of the triangle formed by the line 5x + 3y = 15 and the x-axis and the y-axis.
The area (in square units) of the triangle formed by the vertices (0,2), (2,3), and (3,1) is:
An equilateral triangle has all sides of length 14β3 cm. What is the altitude of this triangle?
In a βABC, 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 triangle β³ ABC, the internal angle bisectors of β B and β C intersect at point OO. If the measure of β BAC = 50o , determine the m...
In β PQR, S is the midpoint of QR. T is the midpoint of line PS. Then, Area of βPTQ : Area of β PQR is
- The base of a right pyramid is an equilateral triangle with side 10 cm. If the height of the pyramid is 55β3 cm, calculate the volume of the pyramid.
If the angles of a triangle are in the ratio of 2:5:8, then find the value of the biggest angle.