7 triangle

The triangle area is 26.7 cm2. Determine the side length l if appropriate height hl = 45.3 cm.

Result

l =  1.2 cm

Solution:

S=lhl2 2S=lhl lhl=2S  l=2Shl=226.745.3 l=1.2 cmS = \dfrac{ l h_l }{2} \ \\ 2 S = l \cdot h_l \ \\ l \cdot h_l = 2 \cdot S \ \\ \ \\ l = \dfrac{ 2 \cdot S }{ h_l } = \dfrac{ 2 \cdot 26.7 }{ 45.3 } \ \\ l = 1.2 \ \text{cm}



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