The base and height of triangle are in the ratio 2:3.If the area of a triangle is 180 cm2,find its base and height.
Answers
Answered by
41
Given :
- The Base and Height of the triangle are in the ratio of 2:3. And, area of the triangle is 180 cm²
---------------------------------------------------------
To Find :
- The Base and Height of triangle.
---------------------------------------------------------
Solution :
Let the Base and Height of the triangle be 2x and 3x respectively.
As we know that,
★ Area of triangle = 1/2 × (Base) × (Height)
→ 108 = 1/2 × (2x) × (3x)
→ 108 = 3x²
→ x² = 108/3
→ x² = 36
→ x = √36
→ x = 6
Hence,
➠ Base of triangle, 2x = 2 × (6) = 12 cm
➠ Height of triangle, 3x = 3 × (6) = 18 cm
Similar questions