Math8.U6L10Review.Spring24 (Copy) Answers Unit 6 Triangles Lesson 10 Triangles Review
1. I didn't do the extra credit
2. 1. Division, 2. square root, 3. 5 and -5
3. Step 1: Add 10 to both sides, Step 2: Take the cube root of both sides, Step 3: Answer is one rational solution
4. The vertical distance is 8 and the horizontal distance is 1; answer approximately 8.1 units
5. Use the distance formula using the points (-5, 4) and (4, -2); approximately 10.8 units , and Draw the diagonal; drop a right triangle to see the vertical distance of 6 and horizontal distance of 9; use the Pythagorean Theorem to solve for the diagonal distance; approximately 10.8 units
6. 90^2 + 90^2 = c ; 127.3 ft
7. 1. 300yds, 2. the distance from the coastguard to the ship must be the longest distance
8. True, because multiples of a right triangle triple produces a similar right triangle with congruent angles.
9. You would have to know two of the angles or all three sides to test the Pythagorean theorem.
10. No, the Pythagorean Theorem does not hold true using 14 as the hypotenuse
11. 1. right, 2. Pythagorean Theorem, 3. 32
12. 1. Taking the square root of the area, 2. 313 miles, 3. Multiply the side dimension times 4, 4. 1252 miles
13. C
14. The blue square on the right contains the yellow square + the green square on the left
15. You would use the inverse operation of square root, and there would be two solutions for x; x = 9/12 = +3/4 and x = - 9/12 = - 3/4
16. 23 inches, 24 inches, 25 inches
17. Step 1: Double the radius to get the diameter = 14in, Step 2: Use Pythagorean Theorem with the height 12 in and the diameter 14 in - 12^2 + 14^2 = d^2, Step 3: Simplify to get: d^2 = 340, Step 4 - answer: Answer - d ~ 18.4
18. 3.50p + 1.50s = 800 and p + s = 344