If a triangle has sides of lengths a and b, which make a C-degree angle, then the length of the side opposite C is c, where c2 = a2 + b2 − 2ab cosC. This is the SAS version of the Law of Cosines. Explain the terminology. Derive
1) Find correct to six decimal places root of the equation cos(x)= x for xE[0, pi/2] using Newton's Method. 2) A triangle has two constant lengths of 10 cm and 15 cm. The angle between two constant sides increases at a rate of 9
A triangle ABC has a trisected angle A. The angle trisectors divide side a (opposite angle A) into three segments which are BD, DE, and DC. The lengths are 2, 3, and 6, respectively. What are the lengths of the other sides?
Two sides of a triangle have lengths 15 m and 18 m. The angle between them is decreasing at a rate of 0.08 rad/s. Find the rate at which the area of the triangle is changing when the angle between the sides of fixed length is
Triangle ABC is similar to triangle APQ, with angle CBA equal to angle QPA and angle A common to both triangles. The lengths of sides AB, AP and PQ are 90 cm, 60 cm and 30 cm. Calculate the length of side BC.
Determine whether you can construct many, one, or no triangle(s) with each description. a)An isosceles triangle with angle measures of 40° and 100° b)A right triangle with three congruent sides c)A scalene triangle with side
Determine whether you can construct many, one, or no triangle(s) with each description. a)An isosceles triangle with angle measures of 40° and 100°-Many b)A right triangle with three congruent sides-one c)A scalene triangle with
Two sides of a triangle have lengths 8 m and 24 m. The angle between them is increasing at a rate of 0.05 rad/s. Find the rate at which the area of the triangle is changing when the angle between the sides of fixed length is
Can the numbers 24, 32, and 40 be the lengths of three sides of a triangle? Why or why not My answer: Yes it can. Because the 3 lengths satisfy the triangle inequality theorem. The triangle inequality theorem states that the third
A triangle has sides of lengths 5 cm, 5 cm, and square root 47cm. Which of the following statements is true? A. The triangle is an obtuse triangle because (√47)^2>5^2+5^2 B. The triangle is an acute triangle because 5^2