The length of the base of a right - angled triangle is 40 cm and its hypotenuse is 41 cm long. What is the area (in cm2) and perimeter (in cm), respectively?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 180 and 90.
Given:
Base = 40 cm
Hypotenuse = 41 cm
Concept USed:
Pythagoras tyheorem, H2 = P2 + B2
Formula Used:
Area of triangle = ½ × Base × Height
Explanation:
The given triangle is a right angled triangle,
Using pythagoras theorem, 412 = P2 + 402
⇒ P2 = 1681 - 1600
⇒ P2 = 81
⇒ P = 9 cm
Now, perimeter of triangle = Sum of all three sides
Perimeter = 9 + 40 + 41 = 90 cm
And, Area = ½ × 40 × 9 = 180 cm2
HEnce the required answer is 180 and 90.