coralstoner5897 coralstoner5897
  • 24-01-2021
  • Mathematics
contestada

The area of a triangle is 10 square cm. The base is LaTeX: 2\:\frac{1}{2}2 1 2 cm. Find the height.

Respuesta :

MrRoyal
MrRoyal MrRoyal
  • 24-01-2021

Answer:

[tex]Height = 40[/tex]

Step-by-step explanation:

Given

Shape: Triangle

[tex]Area = 10cm^2[/tex]

[tex]Base = \frac{1}{2}cm[/tex]

Required

Determine the height

Area of a triangle is calculated as:

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

Substitute values for Area and Base

[tex]10= \frac{1}{2} * \frac{1}{2}* Height[/tex]

[tex]10= \frac{1}{4}* Height[/tex]

Multiply both sides by 4

[tex]4 * 10= 4 * \frac{1}{4}* Height[/tex]

[tex]4 * 10= Height[/tex]

[tex]40= Height[/tex]

[tex]Height = 40[/tex]

Hence, the height is 40cm

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