Respuesta :

Answer:

[tex]x = 5\sqrt{3}[/tex]

Step-by-step explanation:

Due to the Pythagoras theorem,

[tex]a^2 = b^2+c^2[/tex]

Substituting the values:

[tex]x^2 = \sqrt{26} ^2 + 7^2\\\\x^2 = 26+49\\\\x^2 = 75\\\\x = \sqrt{75} \\\\x = 5\sqrt{3}[/tex]

EDIT: My bad, I didn't notice the options,

[tex]x = 5\sqrt{3} \\x = 8.66025403784\\[/tex]

x ≅ 8.7m

tanmayakumarp3

Answer:

Option B

8.7m

Step-by-step explanation:

Given,

Base of the triangle

[tex] = \sqrt{26m} [/tex]

Height of the triangle = 7m

Therefore, According Pythagoras Theorem,

[tex]{hypotenuse}^{2} = {base}^{2} + {height}^{2} [/tex]

[tex] = > {h}^{2} = {( \sqrt{26}) }^{2} + {7}^{2} [/tex]

[tex] = > {h}^{2} = 26 + 49[/tex]

[tex] = > {h}^{2} = 75[/tex]

[tex] = > h = \sqrt{75} [/tex]

=> h = 8.6602540378

As we convert to nearest tenth so we check the Hundreth digit i. e.

8.6602540378

As 6 is greater than 5 so,

8.7 m (Ans)

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