Question

PLZ ANSWER QUICKLY !!!!!!

Answer 1

`x = 5√(3)`

Explanation:

Due to the Pythagoras theorem,

`a^2 = b^2+c^2`

Substituting the values:

`x^2 = √(26) ^2 + 7^2\\\\x^2 = 26+49\\\\x^2 = 75\\\\x = √(75) \\\\x = 5√(3)`

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

`x = 5√(3) \\x = 8.66025403784\\`

x ≅ 8.7m

Answer 2

Option B

8.7m

Explanation:

Given,

Base of the triangle

`= √(26m)`

Height of the triangle = 7m

Therefore, According Pythagoras Theorem,

`{hypotenuse}^(2) = {base}^(2) + {height}^(2)`

`= > {h}^(2) = {( √(26)) }^(2) + {7}^(2)`

`= > {h}^(2) = 26 + 49`

`= > {h}^(2) = 75`

`= > h = √(75)`

=> 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)