SOLUTION: Please help me to solve this problem :The area of a right triangle is 6cmsquare.if one of the sides containing the right is 4cm find the length of its hypotenuse

Click here to see ALL problems on Triangles

Question 1102075: Please help me to solve this problem :The area of a right triangle is 6cmsquare.if one of the sides containing the right is 4cm find the length of its hypotenuse
Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website!
let the hypotenuse of the right triangle be equal to c.
let the vertical leg be equal to a
let the horizontal leg be equal to b

the area of any triangle is equal to 1/2 * base * height.

let the base be equal to 4, then:

1/2 * base * height = 6 becomes 1/2 * 4 * height = 6

solve for height to get height = 3.

the horizontal side (base) of the right triangle is 4.
the vertical side (height) of the right triangle is 3.
the area of the right triangle is 6.

the hypotenuse of the right triangle is equal to sqrt(4^2 + 3^2) = sqrt(16 + 9) = sqrt(25) = 5