Caroline Aucoin
Geometry teacher | Verified Expert
I hold a degree in Geometry from Montclair State University. With a passion for unlocking the mysteries of shapes and spaces, I guide students through the intricacies of geometric concepts. My teaching style emphasizes clarity and practical application, empowering learners to excel in problem-solving and critical thinking. Drawing on my academic background and real-world experience, I foster a supportive learning environment where curiosity thrives. Together, we'll explore the fascinating world of geometry and uncover its relevance in everyday life. Let's embark on this journey of discovery together.
Questions
Triangle A has sides of lengths #12 ,24 #, and #16 #. Triangle B is similar to triangle A and has a side of length #8 #. What are the possible lengths of the other two sides of triangle B?
The length of a rectangle is 3 centimeters less than its width. What are the dimensions of the rectangle if its area is 108 square centimeters?
A triangle has corners at points A, B, and C. Side AB has a length of #9 #. The distance between the intersection of point A's angle bisector with side BC and point B is #3 #. If side AC has a length of #8 #, what is the length of side BC?
An ellipsoid has radii with lengths of #8 #, #7 #, and #7 #. A portion the size of a hemisphere with a radius of #5 # is removed form the ellipsoid. What is the remaining volume of the ellipsoid?
How do you find the dimensions of a rectangle whose perimeter is 52 m and whose area is 160 m?
How to find the equation of the line which passes through the point of intersection of the lines 7x − 3y − 19 = 0 and 3x + 2y + 5 = 0, give that the line is parallel to the line with the equation y = 2x + 1?
Answer the following questions? 1) What the angle vertical to ∠NOM 2) What is the angle vertical to ∠TLK 3) Identify the pair of angles supplementary to ∠NOM 4) What the measurement of angles ∠1, ∠2, and ∠3 5) What is the measure of exterior ∠OPS?
What is the centroid of a triangle with corners at #(1 , 3 )#, #(6 , 9 )#, and #(2 , 7 )#?
What is the definition of an irregular quadrilateral?
If three sides are given as follows, in which case / cases is it possible to draw a triangle?
Two corners of an isosceles triangle are at #(7 ,9 )# and #(5 ,3 )#. If the triangle's area is #64 #, what are the lengths of the triangle's sides?
A triangle has corners at #(2 , 6 )#, #(3 ,9 )#, and #(4 ,8 )#. What is the radius of the triangle's inscribed circle?
What is the perimeter of a triangle with corners at #(6 ,5 )#, #(9 ,1 )#, and #(3 ,8 )#?
A line segment is bisected by a line with the equation # - 6 y + 2 x = 3 #. If one end of the line segment is at #( 4 , 8 )#, where is the other end?
A triangle has corners at #(2 ,5 )#, #(3 ,1 )#, and #(4 ,2 )#. What is the area of the triangle's circumscribed circle?
What is the orthocenter of a triangle with corners at #(5 ,4 )#, #(2 ,3 )#, and (3 ,8 )#?
Two rhombuses have sides with lengths of #7 #. If one rhombus has a corner with an angle of #pi/12 # and the other has a corner with an angle of #(3pi)/8 #, what is the difference between the areas of the rhombuses?
A circle has a chord that goes from #( 5 pi)/6 # to #(5 pi) / 4 # radians on the circle. If the area of the circle is #21 pi #, what is the length of the chord?
Circle A has a center at #(1 ,8 )# and an area of #32 pi#. Circle B has a center at #(2 ,3 )# and an area of #28 pi#. Do the circles overlap?
Two rhombuses have sides with lengths of #3 #. If one rhombus has a corner with an angle of #pi/12 # and the other has a corner with an angle of #(7pi)/8 #, what is the difference between the areas of the rhombuses?