One side of a right angled - triangle is thrice the other and the hypotenuse is 8 cm. Find the area of the triangle.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 9.6 cm2.
Given:
One side of a right angled - triangle is thrice the other
Hypotenuse = 8 cm
Formula used:
Pythagoras theorem, (Hypotenuse)2 = (Base)2 + (Perpendicular)2 ---- (1)
Area of triangle = (1/2) × base × perpendicular ----- (2)
Calculations:
Let the sides be x and 3x
Now, using equation (1)
⇒ 82 = x2 + (3x)2
⇒ 10x2 = 64
⇒ x2 = 64/10
Using equation (2), we get
Area of triangle = (1/2) × x × 3x
⇒ (1/2) × 3x2
⇒ (1/2) × 3 × (64/10) = 9.6 cm2