Question

If the base and perpendicular of a right angled triangle is 33 m and 42 m so find the estimated length of the hypotenuse rounded off to the nearest tens.

Answer 1

As we already know,
Hypotenuse = $\sqrt{P^2+B^2}$, where P and B are the lengths of perpendicular and base respectively. ...(0.5 marks)
So, in order to solve it, we have to first round off the base and perpendicular to its tens place:

Rounding off 33 we get 30 ...(0.5 marks)
( Ones place is 3, less than 5)

Similarly, rounding off 42 you get 40 ...(0.5 marks)
( Ones place is 2, less than 5)
Now, we can find the approximate value of the hypotenuse
Hypotenuse = $\sqrt{P^2+B^2}$
=$\sqrt{{30}^2+{40}^2}$ ...(0.5 marks)
= $\sqrt{2500}$ = $50m$ ...(0.5 marks)
Thus, the answer is 50 m ...(0.5 marks)