Respuesta :
Answer:
Step-by-step explanation:
Area of a triangle is A = height x base / 2
So plug in what you know.
42 = (14 x b)/2 get rid of the 2 by multiplying both sides by 2 which gives:
84 = 14 x b get rid of the 14 by dividing both sides by 14
b = 84/14
b=6 cm
Area measures the 2 dimensional space a figure takes. The base of the considered triangle is 6 cm long.
How to find the area of a triangle?
Suppose that the considered triangle has base 'b' units and height 'h' units.
Then, its area will be:
[tex]A =\dfrac{1}{2} \times b \times h \: \rm unit^2[/tex]
For this case, we are given that:
- Area of the triangle = 42 sq. cm
- height of the triangle = 14 cm
- Base of the triangle = b cm (assume).
Then, from the formula for area of a triangle, we get:
[tex]A = b \times h \: \rm unit^2\\\\42 = \dfrac{1}{2}\times{b}\times{14}\\\\42 = b \times 7\\\\\text{Dividing both the sides by 7}\\\\\dfrac{42}{7} = \dfrac{b \times 7}{7}\\\\6 = b\\\\b = 6 \: \rm cm[/tex]
Thus, the base of the considered triangle is 6 cm long.
Learn more about area of a triangle here:
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