Two sides of a triangle are 12.8 m and 9.6 m. If the height of the triangle is 12 m. corresponding to 9.6 m, then what is its height (in m) corresponding to 12.8 m?
Answer & explanation
Correct answer: option 2
We know that,
Area of right angled triangle = \(\frac{1}{2}\) × Base × Height
Given that,
Two sides of a triangle = 12.8 m and 9.6 m
Let the height of the corresponding side 12.8 m = h
\(\frac{1}{2}\) × 9.6 × 12 = \(\frac{1}{2}\) × 12.8 × h
= \(\frac{1}{12.8}\) × (9.6 × 12) = h
= h = 9 m