19. a. Complete this statement of Theorem 8-5: If the square of the longest side of a triangle ?. b. Prove Theorem 8-5. W Given: ARST: 1² > j} + k? Prove: ARST is an obtuse triangle. (Hint: Start by drawing right AUVW with legs j and k. Compare lengths I and n.) k

Q: 2. Explain why Corollary 2 is true. That is, explain how the fact that MXN is a semicircle leads to…

A: We have given information that MXN⏜ is a semicircle so,  MN is the diameter  given figure is

Q: - Find the area of a triangle PQR, where P = (1, - 2, 3), Q = (1, — 4, 1), an R = (1, 6, 0)

A: we need to find out the area of the triangle whose vertices are given.

Q: 9. A 29 B 38 C Use t mLA

A:

Q: ( , s) Let A = (-1,3) and B = (2, 4). Find the set of points C such that the area of triangle ABC is…

A:

Q: theorems we learr H R 10 6 4.8 8

A:

Q: 3. Let ABC be a triangle with D the midpoint of AB and E a point on AC so that DE is parallel to BC.…

A:

Q: AJKL is a right triangle So KL is perpendicular t Therefore, by Theore

A:

Q: in standard position, and the unit circle. The value of b can be written in t are whole numbers. ues…

A: we will find the required.

Q: If AB=3x+1, DC = 2x+7, AD = 2x-1, BC = x+5 and x = 6, prove that ABCD is a parallelogram

A:

Q: 3. Let a = -i+ 3j + 2k and b = 4i + 5j+ 2k. Don’t evaluate the square roots for the lengths except…

A: Given that                    a→=-i^+3j^+2k^                     b→=4i^+5j^+2k^  We know that the…

Q: Identify the correct answer and show your solution. An unfenced grass land is in the form of right…

A: Given: ABC is a right triangle with AB=4 m, BC=8 m and AC is the hypotenuse.  A goat is tied to a 5…

Q: Square ABCD is shown below. B Square ABCD is reflected about side BC. Which of the following…

A: Here the square ABCD is reflecting about the side BC. the reflection image can be represented as…

Q: Find the area of the triangle formed by the lines 5x + y – 14 = 0, x+ 7y + 38 = 0, and 9x – 5y + 2 =…

A:

Q: Show that the points (a, a).(-a,-a) and (-3a, 3a) are the vertice of an equilateral triangle.Also,…

A:

Q: 8. Consider the triangle OAB shown. Find: A(2,3.-1) a OA and OB ь ОАx ОВ c the area of AOAB. B(-1,…

A: Given that:

Q: Ex.: Find the area of the triangle whose vertices are A(1,-1,0), B(2,1,-1) and C(-1, 1,2).

A:

Q: Compute the area of the triangle. T = = ||OP x oQ|| = |(36, -36, 36) || = II ト

A:

Q: Hw.2 Show that the triangle ABE IS right atA -where A(-l B(2,1,1),ccl,=2,2).

A: Using geometry

Q: Let A = (-2,-2) and B= (2,-2) betwo points and AB subtends an ang in the plane in such a way that…

A: Since AB=4 and area of AAPB is 8,we have                 1 2×4×h=8 or h=4where h is the height of…

Q: Find the area of the triangle formed by the lines 5л +у — 14 — 0, т+7у +38 — 0, and 9л -5у +2 —0

A: We can find the area of the triangle as below

Q: 7) Determine whether the triangle is acute, obtuse, or right SHOWING WORK 9 yd 11 yd √115 yd

A: We have to determine whether the triangle is acute, obtuse, or right.