The base of a triangle is 10 inches more than 3 times the height. if the area of the triangle is 16 square inches, find the base and the height

Let h represent the height of the triangle.

... b = 10 + 3h . . . . . . the base is 10 inches more than 3 times the height

... A = (1/2)bh . . . . . . formula for the area of a triangle in terms of base and height

... 16 = (1/2)(10 +3h)h . . . . substitute the known values

... 3h² + 10h - 32 = 0 . . . . rearrange to standard form

... (h -2)(3h +16) = 0

... h = 2 or -16/3 . . . . . . . . the negative solution is extraneous

... b = 10 + 3·2 = 16 . . . . . use the relation between b and h

The base and height of the triangle are 2 inches and 16 inches, respectively.

здрасти

step-by-step explanation:

1. 3.4/4

2. 0.8/7

3. 0.5 x 3

4. 0.9 x 6

5. 10.8

6. 2.35

7. 0.567

8. 9.35

9. 0.02

10. 0.06

11. 0.16

12. 0.42

13. 0.63

14. 5.6

15. 8.1

16. 9.9

17. 0.28

18. 0.48

19. 0.27

20. 0.49

21. 0.45

22. 0.72

23. 0.9

24. 0.88

25. 0.75

26. 0.16

27. 0.328

28. 0.495

29. 0.72

30. 1.068