The length of the base of a right-angled triangle is 40 cm and its hypotenuse is 41 cm long. What is its area (in cm?) and perimeter (in cm), respectively?
Answer & explanation
Correct answer: option 3
We know that in a right angle triangle,
hypotenuse2 = base2 + height2
Area of right angled triangle = \(\frac{1}{2}\) × Base × Height
Perimeter of right angled triangle = base + height + hypotenuse
Given,
Base of right angled triangle = 40cm
Hypotenuse of right angled triangle = 41cm
In given right angled triangle,
= 412 = 402 + height2
= Height = \(\sqrt {81}\) = 9 cm
Area of right angled triangle = \(\frac{1}{2}\) × 9 × 40 = 180 sq.cm
Perimeter of right angled triangle = 40 + 9 + 41 = 90 cm