ACT Math : How to find the area of a 45/45/90 right isosceles triangle
Study concepts, example questions & explanations for ACT Math
Example Questions
Example Question #1 :Isosceles Triangles
What is the area of an isosceles right triangle with a hypotenuse of
Now, this is really your standard
Based on the description of your triangle, you can draw the following figure:
This is derived from your reference triangle for the
For our triangle, we could call one of the legs
Thus,
The area of your triangle is:
For your data, this is:
Example Question #6 :45/45/90 Right Isosceles Triangles
What is the area of an isosceles right triangle with a hypotenuse of
Now, this is really your standard
Based on the description of your triangle, you can draw the following figure:
This is derived from your reference triangle for the
For our triangle, we could call one of the legs
Thus,
The area of your triangle is:
For your data, this is:
Example Question #7 :45/45/90 Right Isosceles Triangles
What is the area of an isosceles right triangle with a hypotenuse of
Now, this is really your standard
Based on the description of your triangle, you can draw the following figure:
This is derived from your reference triangle for the
For our triangle, we could call one of the legs
Thus,
The area of your triangle is:
For your data, this is:
Example Question #8 :45/45/90 Right Isosceles Triangles
Right isosceles triangles (also called "45-45-90 right triangles") are special shapes. In a plane, they are exactly half of a square, and their sides can therefore be expressed as a ratio equal to the sides of a square and the square's diagonal:
In this case,
So, each side of the triangle is
Thus, the triangle has an area of
Certified Tutor
Certified Tutor
