WebMar 16, 2024 · ∠B = 2x + 25° Theorem used: Angles opposite to equal sides are equal. Sum of all angles of a triangle is 180° Calculation: According to angles opposite to equal sides are equal theorem. ⇒ AB = AC So, ∠B = ∠C = 2x + 25° According to sum of all angles of a triangle theorem ⇒ A + B + C = 180° ⇒ x + 15° + 2x + 25° + 2x + 25° = 180° ⇒ 5x + 65° = 180°
in triangle ABC, Measure of angle a... - softmath
WebUse the law of cosines to find the unknown side of the triangle, given the other two sides and the included angle. c2 = a2 +b2 − 2abcos(C) c 2 = a 2 + b 2 - 2 a b cos ( C) Solve the equation. c = √a2 +b2 −2abcos(C) c = a 2 + b 2 - 2 a b cos ( C) Substitute the known values into the equation. WebPRACTICE AND PROBLEM SOLVING, PAGES 219–221 12.m∠BEA=90°; rt. 13.m∠BCD=60 +60 =120°; obtuse 14.m∠ABC=30 +30 =60° m∠ABC=m∠ACB=m∠BAC; equiangular 15. PS ST PT −− ; equilateral 16. PS RS −− , so PS=RS=10; RP=17; isosc. 17. RT=10 +10 =20, RP=17, PT=10; scalene 18. Step 1Find z. 3z-1 =z+5 3z(190) =z+6 2z=6 z=3 Step 2Find side lengths. osha loto regulations
in triangle ABC, Measure of angle a...
WebA Triangle ABC is an equilateral triangle with side lengths labeled a, b, and c. Which expressions represent the area of triangle ABC? Check all that apply. 1/2bcsin (60°) 1/2a^2sin (60°) Use the law of sines to find the value of w. What is the best approximation of the value of w? 4.0 cm In FGH, h = 10, m∠F = 65°, and m∠G = 35°. Web1. A triangle ABC has angle A = 104 o, angle C = 33 o and side c = 9 m. Solve the triangle ABC by finding angle B and sides a and b.(round answers to 1 decimal place). 2. Redo problem 2 with the distance between points A and B equal to 50 meters. Solutions to Above Exercises 1. B = 43 o, a = 16.0 m , b = 11.3 m 2. 191 meters. Web1 In ABC, m∠A =53, m∠B =14, and a =10. Find b to the nearest integer. 2 In FUN, f =4, m∠F =26, and m∠N =67. Find the value of n to the nearest integer. 3 In ABC, m∠A =30, m∠B =65, and BC =10. Find AC to the nearest tenth. 4 In ABC, m∠A =35, m∠B =82, and side a =4 inches. Find the length of side b to the nearest tenth of an inch ... osha low voltage standard