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Find the area of a triangle with legs that are 15 m, 25 m, and 20 m.

A. 150 m²
B. 38.2 m²
C. 42.4 m²
D. 106.1 m²

Answer :

Given data:

The legs of the triangle with legs that are 15m , 25m and 20m

The legs given are the sides of right angle triangle, we can see this by

[tex]\begin{gathered} \text{Hypotenues}^2=Perpendicvular^2+Base^2 \\ (25)^2=(15)^2+(20)^2 \\ 625=225+400 \\ 625=625 \end{gathered}[/tex]

Therefore, from above it is clear that the perpendicular side is the height that is 15m and base is 20m

Area of triangle,

[tex]\begin{gathered} A=\frac{1}{2}\times base\times height \\ =\frac{1}{2}\times15\times20 \\ =150m^2 \end{gathered}[/tex]

Thus, the area of triangle is 150 meter square.

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Rewritten by : Jeany