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1 Let the sides be 5x and 12x

2 Using Pythagoras' theorem: (5x)2+(12x)2 = 22.752

3 So: 25x2+144x2 = 517.5625 => 169x2 = 517.5625

4 Divide both sides by 169 and then square root both sides

5 Therefore: x = 1.75 so sides are 5*1.75 = 8.75 cm and 12*1.75 = 21 cm

6 Area = 0.5*8.75*21 = 91.875 square cm

Q: What is the area of a right angle triangle whose sides are in the ratio of 5 to 12 with an hypotenuse of 22.75 cm showing work?

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