Respuesta :

dktorsergey

Answer:

h = 3√6 ft

Step-by-step explanation:

Given Area of the triangle = 27 ft²

Also given that Base = Height

Therefore, such triangle are called Isosceles Right angled triangle.

We know that Area of a triangle = 1/2 base x height

Area = 1/2 x (height)²

27 = 1/2 x (height)²

(Height)² = 54

height = √54

h = √54

h = √2 x 3 x 3 x 3

h = 3√2 x 3

h = 3√6 ft

OR h ≈ 7.35 ft

Hrishii

Step-by-step explanation:

[tex]area \: of \: triangle = \frac{1}{2} \times base \times height \\ \\ 27 = \frac{1}{2} \times h \times h \\ \\ 27 \times 2 = {h}^{2} \\ \\ {h}^{2} = 54 \\ \\ h = \sqrt{54} \\ \\ h = 7.34846923 \\ \\ h \approx7.35 \: units[/tex]

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