SOLUTION: The height of a triangle is six feet less than twice the base. If the area is 70 squae feet. Find the base and the height
Algebra.Com
Question 320240: The height of a triangle is six feet less than twice the base. If the area is 70 squae feet. Find the base and the height
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
H=2B-6
A=BH/2
70=B(2B-6)/2
70=(2B^2-6B)/2
2B^2-6B=2*70
2B^2-6B=140
2B^2-6B-140=0
2(B^2-3B-70)=0
2(B-10)(B+7)=0
B-10=0
B=10 ANS. FOR THE BASE.
H=2*10-6=20-6=14 ANS. FOR THE HEIGHT.
PROOF:
70=10*14/2
70=140/2
70=70
RELATED QUESTIONS
the height of a triangle is five feet less than two times the base. If the area is 75... (answered by josmiceli,stanbon)
85 square feet of area height is three feet less than twice the base find base and... (answered by mananth)
The base of a triangle is 3 feet less than the height. If the base is increased by 6... (answered by josgarithmetic)
The area of a triangle is 51 square feet. The base is 1 foot less than 3 times the... (answered by Fombitz)
The area of a triangle is 130 square feet. If the height is 14 less than the base, find... (answered by stanbon)
the area of a triangle garden is 25 feet squared. the base is twice the height. find the... (answered by TimothyLamb)
The base of a triangle is 2 MORE than TWICE the height of the triangle. Find the measure... (answered by edjones)
The area of a triangle is 20 square feet. The height of the triangle is 2 feet more than... (answered by dabanfield)
The height of a triangle is 2 more than the base. The area is 40 square feet. Find the... (answered by mananth)