Find the area of a right angled triangle whose base is 6.5 metres and hypotenuse is 9 metres.

Using the Pythagorean theorem, the height squared equals the hypotenuse squared minus the base squared, which is 9^2 - 6.5^2 = 81 - 42.25 = 38.75. The square root of 38.75 gives the height as approximately 6.22 meters. The area of a right angled triangle is 0.5 multiplied by base multiplied by height, so the area is 0.5 * 6.5 * 6.22, resulting in approximately 20.15 square meters.

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