The Nanda Devi Fair is a significant cultural and religious event celebrated annually in Uttarakhand, India. It honors the goddess Nanda Devi and features a variety of festivities, reflecting the rich cultural heritage of the region.
The area of an equilateral triangle increases by 16√3 square units when the length of each side is increased by 4 units. What is the original perimete...
In triangle △ ABC, the internal angle bisectors of ∠ B and ∠ C intersect at point OO. If the measure of ∠ BAC = 50o , determine the m...
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...
An equilateral triangle ABC is surmounted on a square BCDE whose area is 500 cm². Find the altitude of triangle ABC.
In a right-angled triangle, the length of the hypotenuse is 25 cm, and the perimeter is 60 cm. Find the area of the triangle.
If the ratio of the area of two similar triangles is √3:√2 then what is the ratio of the corresponding sides of the two triangles?
In a right-angled triangle, the hypotenuse is 20 cm, and one of the legs is 12 cm. 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.
In ∆ PQR, S is the midpoint of QR. T is the midpoint of line PS. Then, Area of ∆PTQ : Area of ∆ PQR is
If the inradius of a triangle with a perimeter of 60cm is 8 cm, then find the area of the triangle.(in cm2)