If the perimeter of an equilateral triangle is 36 inches what is the perimeter of it’s image under a dilation with a scale facto
1 answer:
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Answer:
Step-by-step explanation:
The diagonal forms two 45-45-90 triangles, with the diagonal being the hypotenuse of both. The Pythagorean Theorem states that , where
is the hypotenuse of the triangle, and
and
are the two legs of the triangle.
From the Isosceles Base Theorem, the two legs of a 45-45-90 triangle are always equal. Since we're given a diagonal of , we have:
Answer:
x = ±
Step-by-step explanation:
Given
2x² - 9 = 11 ( add 9 to both sides )
2x² = 20 ( divide both sides by 2 )
x² = 10 ( take the square root of both sides )
x = ± ← exact solutions