Question

The height of a triangle is 5 m less than its base. The area of the triangle is 42 m2. Find the length of the base.




12 m


7 m


8 m


11 m

Answer 1

Welcome to OpenStudy!

Answer 2

then altitude = b - 5

then area = 1 / 2 * altitude * base

=> area = 0.5 ( b - 5 ) b = 42

=> b^2 - 5b = 84

=> b^2 - 5b - 84 = 0

=> ( b - 12 ) ( b + 7 ) = 0

=> b - 12 = 0 or b + 7 = 0

=> b = 12 or b = -7

since length can't be negative

b = 12

so base =12 and altitude = 7

Answer 3

B. 7 m

Answer 4

Yeah dude

Answer 5

ok thanks @Error1603 @EpicGammer

Answer 6

No problem fan me and let me know if you have more questions?

Answer 7

ok i will