Question

24. The legs of a right-angled triangle are in the ratio 4 : 3 and its area is 4056 cm​

Answer 1

Answer:

Area = 1/2 × base × altitude

= (1/2) × 3x × 4x = 6x2

∴ 6x2 = 4056

x2 = 4056/6 = 676

x = √676 = under root 26 × 26

∴ x = 26 cm

∴ One leg (base) = 3x = 3 × 26 = 78 cm

And second leg (altitude) 4x = 4 × 26

= 104 cm

Step-by-step explanation:

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