Geometry Chapter: Fractions and Triangle Properties

The positive square root of the product of two numbers.

<p>Segment from the vertex perpendicular to the side opposite or the line containing the side opposite.</p> Signup and view all the answers

<p>If the altitude is drawn to the hypotenuse of a right triangle, then the two triangles formed are similar to the original triangle and to each other.</p> Signup and view all the answers

<p>The altitude drawn to the hypotenuse of a right triangle separates the hypotenuse into two segments and is the geometric mean between the lengths of these two segments.</p> Signup and view all the answers

<p>The altitude drawn to the hypotenuse of a right triangle separates the hypotenuse into two segments, and the length of a leg of this triangle is the geometric mean between the length of the hypotenuse and the segment of the hypotenuse adjacent to that leg.</p> Signup and view all the answers

<p>The longest side of a right triangle and opposite of the right angle.</p> Signup and view all the answers

<p>In a right triangle, the sum of the square of the legs is equal to the square of the hypotenuse.</p> Signup and view all the answers

<p>If the sum of the square of the two smaller sides of a triangle are equal to the square of the larger side, then the triangle is a right triangle.</p> Signup and view all the answers

<p>A set of three non-zero whole numbers, a, b, and c, so that a² + b² = c².</p> Signup and view all the answers

<ol> <li>If c² &gt; a² + b² then the triangle is obtuse. 2. If c² &lt; a² + b² then the triangle is acute. 3. If c² = a² + b² then the triangle is a right triangle.</li> </ol> Signup and view all the answers

<p>In a 45-45-90 triangle, the legs are congruent and the length of the hypotenuse is the length of the legs times √2.</p> Signup and view all the answers

<p>In a 30-60-90 triangle, the length of the hypotenuse is two times the length of the short leg, and the long leg is √3 times the short leg.</p> Signup and view all the answers

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<p>angles.</p> Signup and view all the answers

<p>You need to know the measurements of two sides of the right triangle or one side and one acute angle.</p> Signup and view all the answers

<p>Always measured from the ground up, it's an upward angle from a horizontal line.</p> Signup and view all the answers

<p>Angle formed by the horizontal and the observer's line of sight to an object below.</p> Signup and view all the answers

<p>equal</p> Signup and view all the answers

<p>any</p> Signup and view all the answers

<p>If triangle ABC has lengths a, b, and c, then sinA/a = sinB/b = sinC/c.</p> Signup and view all the answers

<p>Law of Cosines.</p> Signup and view all the answers

<p>If triangle ABC has lengths a, b, and c, then a² = b² + c² - 2bc cosA, b² = a² + c² - 2ac cosB, c² = a² + b² - 2ab cosC.</p> Signup and view all the answers

<p>find the length of every side and the degree of every angle.</p> Signup and view all the answers

<p>When the triangle has a right angle.</p> Signup and view all the answers

<p>When you have a matching pair on a non-right triangle.</p> Signup and view all the answers

<p>When you have a non-right triangle and you do not have a matching pair.</p> Signup and view all the answers

<p>When you are given one large triangle and two component triangles within that large triangle.</p> Signup and view all the answers

<p>When you are finding the side of a right triangle.</p> Signup and view all the answers

<p>their opposite base angles are congruent.</p> Signup and view all the answers

<p>same</p> Signup and view all the answers

<p>45-45-90: 1 go on legs, and √2 goes on hypotenuse. 30-60-90: 1 goes opposite 30°, 2 goes opposite 90°, and √3 goes opposite 60°.</p> Signup and view all the answers

<p>A matching pair has a side and an opposite angle that both have their appropriate numerical measurements.</p> Signup and view all the answers

<p>In a right triangle.</p> Signup and view all the answers