Respuesta :

For this case, a rectangular triangle is observed. We must find the value of the base of the triangle through the Pythagorean theorem that states:

[tex]c = \sqrt {a ^ 2 + b ^ 2}[/tex]

Where:

[tex]c = 36 \ m\\a = 34 \ m\\b = \sqrt {c ^ 2-a ^ 2}[/tex]

Substituting:

[tex]b = \sqrt {36 ^ 2-34 ^ 2}\\b = \sqrt {1296-1156}\\b = \sqrt {140}\\b = 11.83215957[/tex]

Rounding:

11.8

Answer:

11.8 meters

Answer:

y = 11.832 ≅ 11.8 m

Step-by-step explanation:

We have given  a triangle whose two sides are given.

Perpendicular = 34m and Hypotenuse = 36m

We have to find the base.

Base = y = ?

Using pythagorean theorem, we have

(base)²+(Perpendicular)² = (hypotenuse)²

Putting given values in above formula, we have

y² + (34)² = (36)²

y²+1156 = 1296

y² = 1296-1156

y² = 140

y = 11.832 ≅ 11.8 m which is the answer.