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The area of the triangle shown is 40.0 cm?.
?
12.5 cm
What is the height of the triangle?
O A. 3.20 cm
O B. 6.40 cm
O C. 13.8 cm
O D. 27.5 cm

Respuesta :

MrRoyal

Answer:

[tex]Height = 6.40cm[/tex]

Step-by-step explanation:

Given

[tex]Area = 40.0cm^2[/tex]

[tex]Base = 12.5cm[/tex]

Required

Calculate Height

Area of a triangle is:

[tex]Area = \frac{1}{2} * Base * Height[/tex]

Substitute values for Area and Base

[tex]40 = \frac{1}{2} * 12.5 * Height[/tex]

Multiply both sides by 2

[tex]80 = 12.5 * Height[/tex]

Divide both sides by 12.5

[tex]Height = \frac{80}{12.5}[/tex]

[tex]Height = 6.40cm[/tex]

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