Answer:
The height of the triangle is 6.4cm
Step-by-step explanation:
- If the triangle has a side that measures 12.5cm, it means that two of its sides are equal in length.
Which is equivalent to the description of an isosceles triangle.
To find the height, use the equation of the area.
Area = (Base * height) / 2
- We know the value of the area and its shorter side that could be the base.
40cm = (12.5 cm * h) / 2
- Clearing the height would give that:
80cm / 12.5cm = h
h = 6.4cm
The height of the triangle is 12.5cm
A triangle is a plane figure with edges that are all straight with three sides and three angles.
The formula for calculating the area of a triangle is;
[tex]\mathbf{Area = \dfrac{1}{2}\times Base \times Height}[/tex]
Given that:
The area = 40 cm²
Since the diagram for the triangle is not given;
∴
Using the formula form above:
[tex]\mathbf{40.0 cm^2 = \dfrac{1}{2}\times 12.5 cm \times Height}[/tex]
[tex]\mathbf{40.0 cm^2 \times 2 = 1\times 12.5 cm \times Height}[/tex]
[tex]\mathbf{80.0 cm^2 = 12.5 cm \times Height}[/tex]
[tex]\mathbf{Height = \dfrac{80.0 cm^2}{ 12.5 cm} }[/tex]
Height of the triangle = 6.4 cm
Therefore, we can conclude that the height of the triangle = 6.4 cm
Learn more about triangles here:
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