Rithvik's Blog GCSE

  In a triangle, one of the angles is twice as large as the smallest angle, while the third angle is 20 degrees less than the sum of the other two angles. Can you determine the measures of all three angles in this mysterious triangle?

  A triangular park has sides measuring 150 meters, 120 meters, and 90 meters. Calculate the area of the park using Heron's formula. Remember, Heron's formula for the area � A of a triangle with sides of lengths � a , � b , and � c and semiperimeter � s is given by: A = s × ( s − a ) × ( s − b ) × ( s − c ) ​ where � = � + � + � 2 s = 2 a + b + c

In a right-angled triangle ABC, angle BAC is 90 degrees. The lengths of the other two sides are as follows: AB = 8 cm and BC = 15 cm. Find the length of side AC (the hypotenuse).

A rectangle has a length that is 3 cm more than its width. If the area of the rectangle is 40 cm^2, find the dimensions of the rectangle. Let the width of the rectangle be x cm.

The diagram shows a trapezium ABCD with AB parallel to DC. E is a point on AD such that DE is perpendicular to DC. The length of AD is x cm and the length of DE is y cm. Given that: The area of triangle AED is x²/4 The area of the trapezium ABCD is x² + 16cm^2 Find an expression for the length of BC in terms of x

A rectangle has a length that is 3 times its width. If the perimeter of the rectangle is 48 cm, find the dimensions of the rectangle.