triangle abc is similar to triangle def. the lengths of the sides of triangle abc are 5, 8, and 11. what is the length of the shortest side of triangle def if its perimeter is 60?

The shortest sides is 12.5.

Step-by-step explanation:

5 + 8 + 11 = 24

60 / 24 = 2.5

So 2.5 * 5 = 12.5

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this

the answer is 45 i just did it on oddesy ware