Equivalent expression
1 answer:
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Answer:
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.