45-45-90 Triangles : Length of Hypotenuse

1. In a 45-45-90 triangle, the length of each leg is 18. Find the exact length of the hypotenuse. 2. In the 45-45-90 triangle, the length of the hypotenuse is 20m. Find the EXACT length of each leg.

Smallest Angle in 2:3:4 (Angle) Triangle and Diagonals of a Rhombus

1. The measures of the angles of a triangle are in the ratio of 2:3:4. What is the measure of the smallest angle? 2. Each side of a rhombus measures 10 inches. If one diagonal of the rhombus is 12 inches long, what is the length of the other diagonal?

Express the equation in the form of an ellipse.

I am trying to solve a problem on the ellipse... 3x^2 + y^2 + 18x - 8y - 64 = 0

Circles

Secants QM and RM intersect the circle at S and T as shown, a) IF RV=12,VS=4,and TV=8 find VQ. OK so i figured it follows this theorem : If 2 secant segments are drawn to a circle from the same external point, then the products of the length of each secant and the length of its external segment are equal.... So i mapped ...continues

Triangles

In Triangle Rst, medians RM, SN, and TP are congruent at point E What is the point E called? - I think it;s the centroid If Re=24 find RM. 24 (2/3)= 16 Did I do this problem correctly? Im not sure if i multiply by 1/3 or 2/3... The second part follows.... Ab is a chord of circle Q and ab=16cm. Radius QC is pe ...continues

Word Angle Problem

Find the sum of the measures of the five acute angles that maup up this star...... OK so for this I noticed the 5 triangles that make up the star so i multiplied 180 x 5=900 Then to get the acute angles I did 180/5 and got 36... So the triangle measure would be 72 + 72 +36=180 Acute angles = 36....??? Second pro ...continues

infinite geometric series

A square is inscribed in a circle of radius 100. The area of that circle which lies outside of the square is shaded. Another circle is inscribed in the square, and then a second square is inscribed in that second circle. The area of the second circle which lies outside of the second square is shaded. This process is continue ...continues

Geometric Series : Infinite Series of Circles inside Equilateral Triangles

An equilateral triangle is inscribed in a circle of radius 100. The area of the circle which lies outside of the triangle is shaded. The process continues to infinity. What is the radius for the second area/ third area/ fourth area? Side of first area/ side of second area/ side of third area/ side of fourth area? Area ...continues

The sum of an infinite Geometric Series

A regular hexagon is inscribed in a circle of radius 100. The area of that hexagon outside the square is shaded. Another circle is inscribed in the hexagon, and hexagon is inscribed in the second circle. The area of the second circle which lies outside the hexagon is shaded. This process continues to infinity. What is the ...continues

Geometric Series : Infinite Series of Circles inside Squares and Equilateral Triangles

A circle of radius 100is inscribed in a square. The inscribing process continues to infinity. What is the sum of the unshaded areas? Radius of 1 = 100 - Radius of 2 = _________Radius of 3 = _______ Radius of 4 = ____________ Side of square 1 =________, Side of square 2 = __________, Side of square 3 = ___________Side of ...continues