The ANWSER is unrestricted domain
Let S=shortest side of the isosceles triangle.
Then length of the congruent sides are both S+1 units.
The perimeter is therefore the sum of all three sides
= S+(S+1)+(S+1)
=3S+2
Side length of square = S-2
Perimeter of square = 4(S-2) = 4S-8
Since the perimeter of square is the same as perimeter of isosceles triangle, we write
4S-8=3S+2
Isolate S and solve
4S-3S=2+8
S=10
Ans. the shortest length of the isosceles triangle is 10 units.
Answer:
θ = 30°
Angle of elevation is 30°
Step-by-step explanation:
Given;
Height of wall w = 10 ft
Length of ramp l = 20 ft
Angle of elevation = θ
Applying trigonometry;
Sinθ = opposite/hypothenuse
Where;
Height of wall w = opposite (it's opposite the angle of elevation)
Length of ramp l = hypothenuse
Sinθ = w/l
θ = arcsine (w/l)
Substituting the values;
θ = arcsine (10/20)
θ = arcsine (0.5)
θ = 30°
Angle of elevation is 30°
No none of the sides have equal side lengths
We know that :
From the figure, We can notice that :
↔ Opposite side of Angle Q is 9 units
↔ Hypotenuse is 15 units