The average age of 22 children and their teacher's age are 20 years. If the teacher's age is excluded, the average reduces by 1. What is the teacher's age?
Sum of the age of total children and teacher = 23 × 20 = 460 Sum of the age of children after excluding = 22 × 19 = 418 Teacher’s age = 460 – 418 = 42 years
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?
ABC is a right angled triangle, right angled at C and p is the length of the perpendicular from C on AB. If a, b and c are the lengths of the sides BC, ...
In ΔPQR, PQ = 4 cm, QR = 3 cm, and RP = 3.5 cm. ΔDEF is similar to ΔPQR. If EF = 9 cm, what is the perimeter of ΔDEF?
In a triangle, the lengths of two sides are 13 cm and 14 cm, and the included angle between them is 60°. Find the area of the triangle.
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.
The corresponding medians of two similar triangles are 16 cm and 20 cm. If the area of the first triangle is 288 cm, then find the area of the second tr...
In a triangle, the angles are in the ratio 1:2:6. Determine the difference between the smallest and the largest angle.
Two triangles DEF and XYZ are similar to each other. If DE = 5 cm, DF = 7 cm, and XY = 15 cm, then find XZ.
If the inradius of a triangle with a perimeter of 60cm is 8 cm, then find the area of the triangle.(in cm2)
The base of a triangular plot is 25 meters, and its height is 30 meters. If a path of 2 meters wide is to be built around the plot, what will be the are...
