ISEE Upper Level (grades 9-12) Quantitative Reasoning › How to find the length of the side of a right triangle
Consider a triangle, , in which
,
, and
. Which is the greater quantity?
(a) 55
(b)
Figure NOT drawn to scale.
Refer to the above triangle. Which is the greater quantity?
(a)
(b) 108
Give the length of one leg of an isosceles right triangle whose area is the same as the right triangle in the above diagram.
The perimeter of a regular octagon is 20% greater than that of the above right triangle. Which is the greater quantity?
(A) The length of one side of the octagon
(B) 3 yards
Given with right angle
,
Which is the greater quantity?
(a)
(b)
Refer to the above right triangle. Which of the following is equal to ?
The area of a square is equal to that of the above right triangle. Which is the greater quantity?
(A) The sidelength of the square
(B) 4 yards