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Let the base be 10.2 and the height be x:-

0.5*10.2*x = 69.36

Multiply both sides by 2 and then divde both sides by 10.2 to find the value of x:-

x = 13.6 cm

Use Pythagoras' theorem to find the hypotenuse of the triangle:-

10.22+13.62 = 289 and the square root of this is 17

So the dimensions are: hypotenuse 17 cm, height 13.6 cm and base 10.2 cm

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Q: What are the dimensions of a right angle triangle whose shortest side is 10.2 cm and has an area of 69.36 square cm?
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