10 Triangle problems: 3 Pythagorean, 2 classification, 2 triangle inequality, 3 solving for x. (1st semester)

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Presentation transcript:

10 Triangle problems: 3 Pythagorean, 2 classification, 2 triangle inequality, 3 solving for x. (1st semester)

1) If a triangle is formed with the given side lengths, which would be a right triangle? 5 in, 6 in, and 7 in 9 in, 12 in, and 15 in 25 in, 30 in, and 25 in 12 in, 18 in, and 30 in

2) The three squares below form a right triangle. What is the area of the shaded square? 3 cm 5 cm2 9 cm2 25 cm2 16 cm2 3 cm 4 cm 4 cm

3) The Zilker Park Christmas Tree is 155 ft. tall and is made of 39 strands of lights that are 189 ft long. How far from the base of the tree is each strand attached? 17 ft 88 ft 108 ft 244 ft 189 ft 155 ft x ft

Classify the triangle by its angle measures and side lengths. 4) Classify the triangle by its angle measures and side lengths. Right Isosceles Right Scalene Acute Isosceles Acute Scalene 50 in 40 in 30 in

Classify the triangle by its angle measures and side lengths. 5) Classify the triangle by its angle measures and side lengths. 110o Right Isosceles Right Scalene Obtuse Isosceles Acute Isosceles

6) A triangular shaped patio has sides of 30 ft., 24 ft. and 20 ft. There is a rocking chair in the corner that has the smallest angle. Which corner has the rocking chair? The corner opposite the side that is 30 ft. The corner opposite the side that is 24 ft. The corner opposite the side that is 20 ft. The chair is in the middle of the patio.

7) Which of the following side lengths would make a triangle with the two given sides? 12 in. 7 in. 3 in. 4 in. 5 in. 6 in.

Find the measure of the missing angles. 8) Find the measure of the missing angles. 70o a = 70o b = 110o a = 70o b = 20o a = 60o b = 30o a = 60o b = 120o bo ao 50o

Find the value of x, which theorem explains why this is true? 9) Find the value of x, which theorem explains why this is true? x = 6, vertical angle theorem x = 4, vertical angle theorem x = 6, supplementary angle theorem x = 4, supplementary angle theorem

Find the side lengths of the triangle below. 10) Find the side lengths of the triangle below. 2x + 4 4x - 2 10, 20 and 20 15, 15 and 20 10, 15 and 15 10, 10 and 24 40o 40o 4x + 12