Question

A triangle has an area of 42 cm2. The height of a triangle is 14 centimeters. What is the base of the triangle?

Answer 1

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

Answer 2

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:

$A =\dfrac{1}{2} \times b \times h \: \rm unit^2$

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:

$A = b \times h \: \rm unit^2\\\\42 = \dfrac{1}{2}\times{b}\times{14}\\\\42 = b \times 7\\\\\text{Dividing both the sides by 7}\\\\\dfrac{42}{7} = \dfrac{b \times 7}{7}\\\\6 = b\\\\b = 6 \: \rm cm$

Thus, the base of the considered triangle is 6 cm long.

Learn more about area of a triangle here:

https://brainly.com/question/14503701