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Find the whole triangle area
Use the base parts and the known triangle area to find the area of the whole triangle.
In triangle JKL, M is a point on KL such that KM : ML = 3 : 4. The area of triangle JKM is 27 cm². Find the area of triangle JKL.
Show the step-by-step solution
- triangles JKM and JML have the same height from J, so their areas follow KM and ML
- KL = 3 + 4 = 7 units
- 3 units = 27
- 1 unit = 27 ÷ 3 = 9
- area of triangle JKL = 7 x 9 = 63 cm²
Ans: 63 cm²