Which set of numbers can represent the side lengths, in inches, of an acute triangle? 4, 5, 7 5, 7, 8 6, 7, 10 7, 9, 12 Which set of numbers can represent the side lengths, in centimeters, of a right triangle? 8, 12, 15 10, 24, 26 12, 20, 25 15, 18, 20

1) 5, 7, 8

2) 10, 24, 26

Step-by-step explanation:

1) For an acute triangle, the square of the longest side is less than the sum of the square of the two smaller sides.

a) 4² + 5² = 16 + 25 = 41

7² = 49 > 4² + 5².  Therefore the triangle is not acute

b) 5² + 7² = 25 + 49 = 74

8² = 64 < 5² + 7².  Therefore the triangle is acute

c) 6² + 7² = 36 + 49 = 85

10² = 100 > 6² + 7².  Therefore the triangle is not acute

d) 7² + 9² = 49 + 81 = 130

12² = 144 > 7² + 9².  Therefore the triangle is not acute

2) For a right angled triangle, the square of the longest side is equal to the sum of the square of the two smaller sides.

a) 8² + 12² = 64 + 144 = 208

15² = 225 > 8² + 12².  Therefore the triangle is not a right triangle.

b) 10² + 24² = 100 + 576 = 676

26² = 676 = 10² + 24².  Therefore the triangle is a right triangle.

c) 20² + 12² = 400 + 144 = 544

25² = 625 > 20² + 12².  Therefore the triangle is not a right triangle.

d) 15² + 18² = 225 + 324 = 549

20² = 400 < 15² + 18².  Therefore the triangle is not a right triangle.

b. t=-25h+3

step-by-step explanation:

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: