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the hypotenuse of a right angled triangular field is 50ft and the legs are in the ratio 7:24, find the area of the right angled triangular field triangular field also find the cost of paving the field with brick at the rate of rs.20per square ft

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Answer:

Step-by-step explanation:

If one leg is 7x than other leg is 24x

Using Pythagoras

50² = (7x)² + (24x)²

2500 = 49x² + 576x²

2500 = 625x²

x² = 2500/625 = 4

x = +2 or -2 ; x is positive

Means 7 x = 14 and 24x = 48

The two sides are 14cm and 48cm

Test: 14² + 48² = 196 + 2304 = 2500= 50²

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