The base and hypotenuse of a right-angled triangle are 9 cm and 41 cm respectively. What is the area of the triangle?
Answer & explanation
Correct answer: option 1
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