Middle School

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A triangle has an area of 38.4 cm\(^2\). The height of the triangle is 12.8 centimeters. What is the length of the base of the triangle?

Answer :

Answer:

6cm

Step-by-step explanation:

[tex]A = \frac{h_b b}{2}[/tex]

[tex]38.4 = \frac{12.8_b b}{2}[/tex]

[tex]b = 2\frac{A}{h_b}[/tex]

[tex]b = 2\frac{38.4}{12.8}[/tex] = 6

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Rewritten by : Barada

The total space enclosed by the three boundaries of the triangle is called the area of the triangle.

The length of the base of the triangle is 6 cm.

Given

A triangle has an area of 38.4 cm2.

The height of the triangle is 12.8 centimeters.

What is the area of the triangle?

The total surface or space enclosed by the three boundaries of the triangle is called the area of the triangle.

The formula to calculate the area of the triangle is given by;

[tex]\rm Area \ of \ the \ rectangle = \dfrac{1}{2} \times Base \times Height\\\\[/tex]

Substitute all the values in the formula;

[tex]\rm Area \ of \ the \ triangle= \dfrac{1}{2} \times Base \times Height\\\\\rm 38.4 = \dfrac{1}{2} \times Base \times 12.8\\\\ Base = \dfrac{38.4 \times 2}{12.8}\\\\Base = 3 \times 2\\\\Base = 6 \ cm[/tex]

Hence, the length of the base of the triangle is 6 cm.

To know more about the Area of the Triangle click the link given below.

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