The base and hypotenuse of a right-angled triangle are 9 cm and 41 cm respectively. What is the area of the triangle?

180 cm²

We know that,

Area of right angled triangle = \(\frac{1}{2}\) × Base × Height

h² = p² + b² 

Base = 9 cm,

 Hypotenuse = 41 cm 

So,

p² = 41² – 9²

= p² = 1600

= p = 40

So, the area of right angled triangle = \(\frac{1}{2}\) × p × b

= area of triangle = \(\frac{1}{2}\) × 40 × 9 = 180 cm²