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T R I A N G L E S (area, perimeter, angles) M M E PRACTICE W E E K 1 Construct and justify arguments and solve multistep problems including angle measure, side length, perimeter, and area of all types of triangles. We will be covering the following c o n c e p t s this week: / BO'^ Triangle Sum Theorem: The sum of the angles of a triangle is Find X and then find the measure of each angle. ^3 . Pythagorean Theorem: In a right triangle, the hypotenuse. cl ^ J- V? ^ " C ^ where a = leg, b = leg, c = The hypotenuse of a right triangle is 30 cm, while one of the legs is 17 cm. What is the measure of the other leg? a'Ml Perimeter of a polygon: To find the perimeter of a polygon, c^ci p - 4 y/^ Area of a Triangle: The formula for the area of a triangle is: V in - Jjl 13 i n / / 12 in "1 X in ^ b 16 in -KJM ^tSxJi The perimeter of the triangle is 242 inches. Find x and then fmd the measure of each side of the triangle. A-J hl-^ where b = h^^>^~- Find the value for x and y and then fmd the area of the triangle. 2_ and NAME: M M E Practice: First C o n c e p t - Day 1 Construct and justify arguments and solve multistep problems including angle measure, side length, perimeter, and area of all types of triangles. Find the measures of each of the angles in Triangle DCW. Show your work to solve the problem and give an explanation for the rationale behind setting up the problem. NAME: M M E Practice: First C o n c e p t - Day 2 Construct and justify arguments and solve multistep problems including angle measure, side length, perimeter, and area of all types of triangles. Find the area and perimeter of Triangle A B C . Show your work to solve the problem and give an explanation for the rationale behind setting up the problem. I NAME: MME Practice: First Concept - Day 3 Construct and justify arguments and solve multistep problems including angle measure, side length, perimeter, and area of all types of triangles. The perimeter of triangle KTR is 124 cm. Find the measure of each side in triangle KTR. Show your work to solve the problem and give an explanation for the rationale behind setting up the problem. 3x + 2 4x - 8 NAME: MME Practice: First Concept - Day 4 Construct and justify arguments and solve multistep problems including angle measure, side length, perimeter, and area of all types of triangles. Find the area and perimeter of Triangle PQT. Show your work to solve the problem and give an explanation for the rationale behind setting up the problem. Q NAME: MME Practice: First Concept - Day 5 Construct and justify arguments and solve multistep problems including angle measure, side length, perimeter, and area of all types of triangles. Find the measures of each of the angles in Triangle A B C . Show your work to solve the problem and give an explanation for the rationale behind setting up the problem. The measure of ^ A B C is x°. -;<v UK ' The measure of ^ B A C is 3 more than 5 times ^ A B C . ~ '\^<:'^si j% . " •> A li 6 The measure of ^ B C A is 13 less than 4 times .^ABC. r^A-^ B -i3 • Aft Ir., • ^ .XA,.-^^ '-V^^_ a.-^".p ^JL>r NAME: 1 MME Practice: First Concept - Day 6 Construct and justify arguments and solve multistep problems including angle measure, side length, perimeter, and area of all types of triangles. Find the measures of each of the sides in Triangle JKL. The perimeter of Triangle JKL is 164 cm. Show your work to solve the problem and give an explanation for the rationale behind setting up the problem. The measure of'is x cm. — The measure of^ls 4 cm less than 8 times the measure oftfjc^ is 3 cm more than 6 times the measure The measurers of';;j'K. '-B X H '€>)<-^2> K -T'^ •^">^/0 NAME: ^-^-^f" MME Practice: First Concept - Day 7 Construct and justify arguments and solve multistep problems including angle measure, side length, perimeter, and area of all types of triangles. Find the area and perimeter of Triangle TRX. Show your work to solve the problem and give an explanation for the rationale behind setting up the problem. 54.4 cm 19.2 cm d5v ^ -t^ Q.., 4^^..^ ....... V uf^ f^^- %v.>ub.: A- i(M^-/}r^