SOLUTION: If you have three squares each having an area of 10 cm^2, they form a triangle by touching corners what is the area of the triangle

Algebra.Com
Question 839425: If you have three squares each having an area of 10 cm^2, they form a triangle by touching corners what is the area of the triangle
Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
If you have three squares each having an area of 10 cm^2, they form a triangle by touching corners what is the area of the triangle
:
= the side of the square and the sides of the equilateral triangles formed by the 3 squares
:
Find the altitude of the triangle, (a)
This is an equilateral triangle all angles = 60 degrees
Use the sine of 60 to find the altitude
sin(60) =
a = 2.74 is the altitude of the triangle
A = *
A = 4.33 sq/cm

RELATED QUESTIONS

Four squares, each with sides 4 cm long, are cut from the corners of a rectangular piece... (answered by checkley77)
four congruent squares are cut from all corners of a 22 cm. by 18 cm. illustration board. (answered by josgarithmetic)
An open box is to be made from a 10 cm by 20 cm rectangular piece of cardboard by cutting (answered by jim_thompson5910)
Sandy makes an open-top box by cutting equal squares from the corners of a rectangular... (answered by josgarithmetic,ankor@dixie-net.com,solver91311)
three squares with equal area were placed size by size to form a rectangle if the... (answered by josgarithmetic)
A rectangular piece of cardboard 11 in by 14 in is made into a box by cutting identical... (answered by JimboP1977)
A rectangular piece of cardboard 11 inches by 14 inches is made into a box by cutting... (answered by Fombitz,jorel555)
A regular octagon is constructed by cutting off the corners of a square. If each side of... (answered by CubeyThePenguin)
Box Construction. An open box is to be made from a 10-ft by 20-ft rectangular piece of... (answered by ankor@dixie-net.com)