(a) One unique triangle. This is an equilateral triangle since all sides are the same length. Through the SSS property, we can prove that only one triangle is possible here.
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(b) Cannot make a triangle. The triangle inequality theorem says that adding any two sides of a triangle must result in a value larger than the third side. Add up the first two sides (1 and 2) to get 1+2 = 3, which is not larger than the third side (3 units long). I recommend cutting out strips of paper that are 1 inch, 2 inches and 3 inches long, and trying to form a triangle. You'll find that a triangle is not possible. The 1 inch and 2 inch strips will line up to form a straight line that is 3 inches long, and basically you have a flat line (or a triangle with area 0)
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(c) More than one triangle. The angles add up to 180 since 35+60+85, so we can form a triangle. It turns out we can form infinitely many of them. The AA (angle angle) similarity theorem allows us to scale any triangle to make it larger or smaller compared to the original.
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(d) Cannot make a triangle. I'm assuming the 509 should actually be 50°. If so, then a triangle is not possible because the three angles (50, 50, 50) do not add to 180. We have instead 50+50+50 = 150. For any triangle, the three angles must always add to 180 degrees.
Answer:
18 hours
Step-by-step explanation:
Answer:
Step-by-step explanation:
I can't do the step-by-step explanation because my device is currently dying, But I am sure that is the correct answer.
7(2)+7(5) {using distributive property}
14+35 {7 multiplied by 2 gives 14 and 7 multiplied by 5 gives 35}
49 {therefore 35+14 gives 49}
6 ft
Step-by-step explanation:
We’ll use the trigonometric rule of SOHCAHTOA;
Well use <em>TOA</em> – since we know the value of the adjacent side and we are evaluating for the opposite side;
Tan Φ = Opposite / Adjacent
Tan 36 = x / 8
x = Tan 36 * 8
x = 5.81234
x = 6 ft
