Question

the measure of at least of at one angle in right angled triangle is 90°​

Answer 1

Answer:

Let the length of the shortest side be x meters. Then,

Hypotenuse = ( 2x + 1) meters, Third side = (x + 7) meters. The hypotenuse² = sum of the square of the remaining two sides

⇒ ( 2x + 1)² = x² + ( x + 7)²

⇒ 4x² + 4x + 1 = 2x² +14x +49

⇒ 2x² – 10x – 48 = 0

⇒ x² – 5x – 24 = 0

⇒ x² – 8x + 3x – 24 = 0

⇒x (x – 8) + 3 ( x- 8) = 0

⇒x = 8, -3

So, ⇒x = 8

Hence the length of sides of the grassy land is 8m, 17m, 15m.