The area of a triangle is 480 cm2 and the ratio of its sides is 10: 24: 26. What is the perimeter of the triangle?
Answer & explanation
Correct answer: option 1
We know that,
Area of right angled triangle = \(\frac{1}{2}\) × Base × Height
If a triangle has the ratio of its sides = 10: 24: 26, then it must be a right angled triangle.
The given area of the triangle = 480
then ,
\(\frac{1}{2}\) × 10a × 24a = 480
120a2 = 480
a = 2
Then the perimeter of the triangle =
10x + 24x + 26x = 60x.
= 60 × 2 = 120