SOLUTION: the hieght of a triangle is half the length its base. the area of the triangle is 12.25 cm.what is the hieght.i was absent the day my teacher was teaching it and now she is absent.

Algebra.Com
Question 119559This question is from textbook pre-algebra
: the hieght of a triangle is half the length its base. the area of the triangle is 12.25 cm.what is the hieght.i was absent the day my teacher was teaching it and now she is absent.please show me what i need to do This question is from textbook pre-algebra

Answer by checkley71(8403)   (Show Source): You can put this solution on YOUR website!
area=bh/2
height=b/2
12.25=(b*b/2)/2
12.25=(b^2/2)*1/2
12.25=b^2/4 cross multiply.
b^2=49
b=sqrt49
b=7 answer for the base.
12.25=7h/2
7h=25
h=25/7 answer for the height.
proof
12.25=(7*25/7)/2
12.25=25/2
12.25=12.25

RELATED QUESTIONS

If the height of a triangle is half the length of its base, and the area of the triangle... (answered by stanbon)
if a triangle has an area of 75 square centimeters, and if the base and hieght have equal (answered by robertb)
if an isosceles triangle has congruent sides of 15 cm and the base is 20 what would the... (answered by swincher4391)
The area of a triangle is 85 square inches the length of the base is twice the hieght... (answered by rfer)
the area of a triangle is one-half the base times the height. if the hieght of the... (answered by oberobic)
The base is a right triangle with legs of length 5 and 12, and the hieght of the prism is (answered by Alan3354)
if you have a triangle with a base of 30ft and a hieght of 20ft what is the... (answered by mananth)
how do you find the base and height of a triangle if the area is 338 and the hieght is 4... (answered by stanbon,JBarnum)
the area of a triangle is 6 square inches the hieght of the triangle is 5 inches less... (answered by jojo14344)