The area of a triangle is 10 square meters. The height is one meter longer than the base. What are the lengths of the base and height of the triangle?

b=4, h=5

Step-by-step explanation:b(b+1) divided by 2 is 10, so b(b+1)=20 so b^2  + b =20 so b^2 +b -20=0 which equals (b+5)(b-4), giving us solutions -5 and 4. However,  -5 is invalid bc it is negative, so base must be 4 making height 5

use substitution to solve each system of equations. y = x + 5 3x + y = 25 62/87,21 y = x + 5 3x + y = 25 substitute x + 5 for y in the second equation. substitute the solution for x into either equation to find y. the solution is (5, 10)

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