An architect is working on a design project comprised of triangles. He has 2 pieces of metal rods measuring 8 feet and 11 feet for one of the triangles in the design. He would like the triangle to be obtuse. What would be a possible length for the third metal rod if it is to be the longest rod? Be sure to justify your answer.

is it at 1530 hours? Jack drives north at \( 80 \mathrm{~km} / \mathrm{h} \) for 2 hours. He then turns and drives east at the same speed for 3 hours. (a) To the nearest degree, what is Jack's true bearing from his original position? (b) If Jack could drive from his current position straight back to his starting position: (i) how far would he travel, to the nearest kilometre (ii) what true bearing should he follow?

ai The sides of a big triangle measure 100 m each. The sides of a small triangic measure 10 m less than the sides of the big triangle. fipd the perimeter of the big triangle. (ii) Find the perimeter of the smail trian is the ditference between the two perimeters?

Касательная и треугольник Прямая, проходящая через точку \( A \), касается окружности с центром \( O \) в точке \( B \). Найдите градусную меру меньшего угла треугольника \( А О В \), если один из его углов равен \( 65^{\circ} \).

2) Dato un punto \( P(-2 ;-1) \) e una rette II \( y=2 x-3 \) deterninare retto per il punto \( P \) ! Fare grefico

In this exercise, lines m and n are parallel. Find the measure of each numbered angle.