A rectangle can be divided evenly into two right triangles. If the area of the rectangle below is 60 units2, what is the area of the blue right triangle?

Respuesta :

Answer:

[tex]30\text{ unit}^2[/tex]

Step-by-step explanation:

GIVEN: A rectangle can be divided evenly into two right triangles. If the area of the rectangle is [tex]60[/tex] [tex]units^2[/tex].

TO FIND: area of the blue right triangle.

SOLUTION:

As the rectangle is divided between two even right triangle area of both right triangle is equal.

let the area of one right triangle [tex]=x\text{unit}^2[/tex]

As the sum of area of triangles s equal to area of rectangle

             [tex]x+x=60\text{ units}^2[/tex]

             [tex]2x =60[/tex]

             [tex]x=\frac{60}{2}[/tex]

             [tex]x=30\text{ unit}^2[/tex]

Hence the area of one of the right triangle is [tex]30\text{ unit}^2[/tex]