All SAT Math Resources
Example Questions
Example Question #1 : Isosceles Triangles
The length of the diagonal of a given square is . What is the square's area?
Possible Answers:
Correct answer:
Explanation:
If we divide the square into two triangles via its diagonal, then we know that the length of the diagonal is equal to the length of the triangles' hypotenuse.
We can use the Pythagorean Theorem to find the length of the two sides of one of our triangles.
Since we're dealing with a square, we know that the two sides of the square (which are the same as the two sides of one of our triangles) will be equal to one another. Therefore, we can say:
Now, solve for the unknown:
.
This means that the length of the sides of our triangle, as well as the sides of our square, is .
To find the area of the square, do the following:
.
All SAT Math Resources
SAT Math Tutors in Top Cities:
Atlanta SAT Math Tutors, Austin SAT Math Tutors, Boston SAT Math Tutors, Chicago SAT Math Tutors, Dallas Fort Worth SAT Math Tutors, Denver SAT Math Tutors, Houston SAT Math Tutors, Kansas City SAT Math Tutors, Los Angeles SAT Math Tutors, Miami SAT Math Tutors, New York City SAT Math Tutors, Philadelphia SAT Math Tutors, Phoenix SAT Math Tutors, San Diego SAT Math Tutors, San Francisco-Bay Area SAT Math Tutors, Seattle SAT Math Tutors, St. Louis SAT Math Tutors, Tucson SAT Math Tutors, Washington DC SAT Math Tutors
Popular Courses & Classes
MCAT Courses & Classes in Philadelphia, ACT Courses & Classes in Los Angeles, Spanish Courses & Classes in Los Angeles, ISEE Courses & Classes in San Diego, ACT Courses & Classes in Boston, SSAT Courses & Classes in New York City, LSAT Courses & Classes in Los Angeles, ISEE Courses & Classes in Seattle, GMAT Courses & Classes in Seattle, ISEE Courses & Classes in Chicago