SOLUTION: Hi,
I know that the area of a triangle is 1/2 bh but that is not one of the answers.
How can I find the area in this triangle?
Thanks.
<a href="http://s571.photobucket.com/
Algebra.Com
Question 823989: Hi,
I know that the area of a triangle is 1/2 bh but that is not one of the answers.
How can I find the area in this triangle?
Thanks.
Found 2 solutions by Alan3354, jim_thompson5910:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
h = a*sin(t)
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Rule:
Area of Triangle = (Base)*(Height)/2
Note: the base and height are ALWAYS perpendicular segments
Since h is the height (given and fixed), this forces us to choose b as the base since b is perpendicular to h
So....
Area of Triangle = (Base)*(Height)/2
A = b*h/2
-------------------------------------------------------
Now focus on the smaller triangle on the left (with hypotenuse 'a' and leg 'h')
sin(angle) = opposite/hypotenuse
sin(theta) = h/a
a*sin(theta) = h
h = a*sin(theta)
-------------------------------------------------------
Now go back to the area of a triangle equation and plug h = a*sin(theta) in
A = b*h/2
A = (1/2)*b*h
A = (1/2)*b*(a*sin(theta))
A = (1/2)ab*sin(theta)
So the answer is choice D
RELATED QUESTIONS
A triangle has a side length of 3 inches and an area of 22 square inches. A similar... (answered by edjones)
An isosceles riangle has a perimeter of 50 cm. The sum of the length of the base and the (answered by Fombitz)
Hello, I'm not sure how to figure this out so that i may explain it to my daughter. The... (answered by KMST)
I need help with this word problem! The question is The area of a triangle is 30 in... (answered by Fombitz)
Find the dimensions of a right triangle if the area is 48 and one leg is 4 less than... (answered by MathLover1)
I have a triangle, it is an isoceles (I think i spelled that wrong). I know it is... (answered by Fombitz)
Hi, Here is the question. The base of a triangle is 4 cm greater than the height. The... (answered by stanbon)
Building a hexagon shaped patio with six equal sides.The ciritical measurement is from... (answered by scott8148)
The formula to find the area of a triangle is:
A= 1/2 Bh
To solve for " h " in this (answered by Earlsdon)
