Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Penrose tiling wikipedia , lookup
Golden ratio wikipedia , lookup
History of geometry wikipedia , lookup
Technical drawing wikipedia , lookup
Multilateration wikipedia , lookup
Reuleaux triangle wikipedia , lookup
Rational trigonometry wikipedia , lookup
Trigonometric functions wikipedia , lookup
History of trigonometry wikipedia , lookup
Incircle and excircles of a triangle wikipedia , lookup
Euclidean geometry wikipedia , lookup
Classifying Triangles • By angles – Acute- all angle measures < 90 – Obtuse- one angle measure > 90 – Right- one angle = 90 – Equiangular- all angle measures are equal • By sides – Scalene- no two sides are congruent – Isosceles- at least two sides are congruent – Equilateral- all sides are congruent ARCHITECTURE The triangular truss below is modeled for steel construction. Classify JMN, JKO, and OLN as acute, equiangular, obtuse, or right. Answer: JMN has one angle with measure greater than 90, so it is an obtuse triangle. JKO has one angle with measure equal to 90, so it is a right triangle. OLN is an acute triangle with all angles congruent, so it is an equiangular triangle. ARCHITECTURE The frame of this window design is made up of many triangles. Classify ABC, ACD, and ADE as acute, equiangular, obtuse, or right. Answer: ABC is acute. ACD is obtuse. ADE is right. Identify the isosceles triangles in the figure if Isosceles triangles have at least two sides congruent. Answer: UTX and UVX are isosceles. Identify the scalene triangles in the figure if Scalene triangles have no congruent sides. Answer: VYX, ZTX, VZU, YTU, VWX, ZUX, and YXU are scalene. Identify the indicated triangles in the figure. a. isosceles triangles Answer: ADE, ABE b. scalene triangles Answer: ABC, EBC, DEB, DCE, ADC, ABD ALGEBRA Find d and the measure of each side of equilateral triangle KLM if and Since KLM is equilateral, each side has the same length. So Substitution Subtract d from each side. Add 13 to each side. Divide each side by 3. Next, substitute to find the length of each side. Answer: For KLM, and the measure of each side is 7. ALGEBRA Find x and the measure of each side of equilateral triangle and Answer: if COORDINATE GEOMETRY Find the measures of the sides of RST. Classify the triangle by sides. Use the distance formula to find the lengths of each side. Answer: RST is scalene. ; since all 3 sides have different lengths, Find the measures of the sides of ABC. Classify the triangle by sides. Answer: ABC is scalene. ; since all 3 sides have different lengths,