Question - Calculating Height of a Triangle
Solution:
The area of a triangle is given by the formula:\[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \]Given:- The area of the triangle $$ A = 48 \, \text{cm}^2 $$- The base of the triangle $$ b = 12 \, \text{cm} $$Now plug in the values and solve for the height $$ h $$:\[ 48 = \frac{1}{2} \times 12 \times h \]To find the height, perform the following steps:\[ 48 = 6 \times h \]\[ h = \frac{48}{6} \]\[ h = 8 \]The height of the triangle is $$ 8 \, \text{cm} $$.
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