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the height of a triangle is twice the length of its base. The area of the triangle is 50 m^2. Find the height and base to the nearest tenth of a meter

Respuesta :

gmany

Answer:

base = 7.1 m and height = 14.2 m

Step-by-step explanation:

The formual fo ana area of a triangle:

[tex]A=\dfrac{bh}{2}[/tex]

b - base

h - height

We have A = 50 cm² and h = 2b. Substitute:

[tex]\dfrac{(b)(2b)}{2}=50\\\\b^2=50\to b=\sqrt{50}\ m\to b\approx7.1\ m\\\\h=2b\to h=2(7.1)=14.2\ m[/tex]

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