Question

The hypotenuse of a right triangle is 1½ metres and another side is ½ metre. Calculate its perimeter correct to a centimeter​

Answer 1

Step-by-step explanation:

☯︎ In the given figure, hypotenuse, BC = 1.5 m and AB = 0.5 m.

✔️ We know that in a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

➪In AABC, 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)