An architectural firm wants to replicate a nearby estate with some changes. The new estate will be larger than the original by a scale factor of 1:10. A section of the roof in the original estate is constructed using 45-45-90 triangles. The hypotenuse of the triangle is 10 meters long. What will be the length of the legs of the triangle for the larger estate?

141.42 meters

70.71 meters

100.00 meters

14.14 meters

Option B.

Step-by-step explanation:

It is given that the new estate will be larger than the original by a scale factor of 1:10.

A section of the roof in the original estate is constructed using 45-45-90 triangles. The hypotenuse of the triangle is 10 meters long.

Two angles are equal and one angle is a right angle, it means it is an isosceles right-angled triangle.

Let be the length of the legs of the triangle for the larger estate.

The hypotenuse of larger estate = 10 × 10 = 100

Using Pythagoras triangle,

Divide both sides by 2.

Taking square root on both sides.

Hence, the correct option is B.

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answer

false

explanation

these practices describe the manner the land use outcome is attained. land management methods implemented by corporations are a mandatory because they are a driver for better land use results economically, socially and environmentally. corporations are required to understand the connection between land use , and land management practices to support sustainable land use policies