Answer VerifiedHint: Here, we have to find the area of the right triangle. First, we will use the Pythagoras theorem to find the height of a right-angled triangle. Then we will use the area of the right angled triangle formula to find the area. A right angled triangle is a triangle in which one of the angles is equal to \[90^\circ \]. Formula Used: Area of the Right angled triangle is given by the formula \[A = \dfrac{1}{2} \times b \times h\], \[b\] is the base and \[h\] is the height of the triangle.Complete step by step solution:
Therefore, the area of the triangle is \[24{{\rm{m}}^2}\] and thus Option(D) is correct. Note: We know that the Pythagoras theorem states that the square of the hypotenuse equals the sum of the squares of the other two sides. Pythagoras theorem can be applied only if the given triangle is a right angle triangle. Using this theorem, we will be able to find any side of the right-angled triangle. In a right-angled triangle, the hypotenuse is the longest side. The area of a triangle is nothing but the space covered by the triangle. |