The lengths of the two shorter legs of a right triangle add up to 40 units. What is the maximum possible area of the triangle?

The longest side of an isosceles right triangle measures 20sqrt2 . What is the area of the triangle?

The lenths of the legs of a right triangle are 3x and x +1. The hypotenuse is 3x +1. What is the value of x ?

If the sum of the lengths of the hypotenuse and another side of a right-angled triangle is given, show that the area of the triangle is maximum when the angle between these sides is pi/3dot

If the sum of the lengths of the hypotenuse and another side of a right-angled triangle is given, show that the area of the triangle is maximum when the angle between these sides is pi/3dot

The lengths of the medians through acute angles of a right-angled triangle are 3 and 4. Find the area of the triangle.

The lengths of the sides of an isosceles triangle are 9+x^2,9+x^2 and 18-2x^2 units. Calculate the area of the triangle in terms of x and find the value of x which makes the area maximum.

Two sides of a triangle are 4 cm and 10 cm. what is the possible range of length of the third side ?

Two sides of a triangle have lengths of 8 and 17. What is the range of possible vlaus of the length of the thrid side?

If the length of two sides of an isosceles triangle are 3 and 7, what is the perimeter of the triangle?

Let a and b denote llie lengths of the legs of a right triangle with following properties: (i) All three sides of the triangle are integers. (ii) The perimeter of the triangle is numerically equal to its area. (iii) a ltb. Statement-1: The number of such triangle is 2 Statement-2: Maximum possible perimeter of the triangle is 30°.