ISEE Upper Level (grades 9-12) Quantitative Reasoning › Triangles
The lengths of the hypotenuses of ten similar right triangles form an arithmetic sequence. The smallest triangle has legs of lengths 5 and 12 inches; the second-smallest triangle has a hypotenuse of length one and one half feet.
Which of the following responses comes closest to the area of the largest triangle?
Which is the greater quantity?
(a) The sum of the measures of the exterior angles of a thirty-sided polygon, one per vertex
(b) The sum of the measures of the exterior angles of a forty-sided polygon, one per vertex
In a certain quadrilateral, three of the angles are ,
, and
. What is the measure of the fourth angle?
and
are right triangles, with right angles
, respectively.
Which is the greater quantity?
(a) The perimeter of
(b) The perimeter of
A rectangle is two feet longer than it is wide; its perimeter is 11 feet. What is its area in square inches?
Figure NOT drawn to scale.
In the above figure, is the midsegment of isosceles Trapezoid
. Also,
.
What is the perimeter of Trapezoid ?
Given Trapezoid , where
. Also,
Which is the greater quantity?
(a)
(b)
and
are right triangles, with right angles
, respectively.
and
.
Which is the greater quantity?
(a)
(b)
The lengths of the hypotenuses of ten similar right triangles form an arithmetic sequence. The smallest triangle has legs of lengths 5 and 12 inches; the second-smallest triangle has a hypotenuse of length one and one half feet.
Which of the following responses comes closest to the area of the largest triangle?
The above diagram depicts trapezoid . Which is the greater quantity?
(a)
(b)