Question

Please help me!!!!!!!​

Answer 1

I'll do part 1 to get you started

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Answers:

1. D) 90, 45, 45
2. A) centroid
3. B) vertex of right triangle
4. B) 41
5. C) 5^4*3^5

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Explanations:

1. In an isosceles triangle, the base angles are congruent. Let's call them x. When dealing with a right triangle, those bases angles are also complementary and they add to 90 degrees. This means x+x = 90 solves to x = 45. Therefore we have a 45-45-90 triangle.
2. This is something to memorize. There's not much explanation I can think of.
3. The altitudes intersect at the orthocenter. For a right triangle, the altitude for the base is the height, and vice versa. The base and height intersect at the vertex point that's the 90 degree angle.
4. The number 41 is prime because the only factors are 1 and itself. Something like 81 is not prime because 3 is a factor. We consider 81 to be composite.
5. Rewrite 5^4*3^5 as 5*(5^3*3^5) to see that 5^3*3^5 is a divisor or factor of 5^4*3^5