The perimeter of a right-angled triangle = 40 cm
Therefore, a + b + c cm
Hypotenuse = 17 cm
Therefore, c = 17cm
a + b + c = 40 cm
\(\Rightarrow\) a + b + 17 = 40
\(\Rightarrow\) a + b = 23
\(\Rightarrow\) b = 23 - a ......(i)
Now, using Pythagoras theorem, we have:
Substituting the value of a = 15, in equation (i) we get:
b = 23 - a
= 23 - 15
= 8 cm
If we had chosen a = 8 cm, then, b = 23 - 8 = 15 cm
In any case,
Area of triangle = \(\frac{1}{2}\)x base x height
= \(\frac{1}{2}\times8\times15\)
= 60 cm2
