Question

the hypotenuse of a right triangle is 1 1/2 metres and another side 1/2 metre. calculate it's perimeter correct to a centimetre​

Answer 1

Answer:

In ΔABC, BC2 = AB2 + AC2

⇒ 1.52 = 0.52 + AC2

⇒ 2.25 = 0.25 + AC2

⇒ AC2 = 2.25 – 0.25 = 2

∴ AC = √2 m

⇒ √2 ≈ 1.41 m (correct to a centimetre)

We know that perimeter of a polygon is the sum of all its sides.

⇒ Perimeter of given triangle = 1.5 + 0.5 + √2

= 2 + √2

⇒ 2 + √2 ≈ 2 + 1.41 = 3.41 m

∴ Perimeter = 3.41 metres (correct to a centimetre)