Help

Properties of 45°-45°-90° triangles:

Properties of 30°-60°-90° triangles:

With these properties in mind, let's solve for our variables.

Triangle no. 1: 45°-45°-90°

Leg = d

Hypotenuse = 4

Given the properties, an as yet unknown number times √(2) is equal to 4.  This unknown number is the legs' length, or d.

d√(2) = 4

d ≈ 2.82

Triangle no. 2: 30°-60°-90°

Short leg = 5

Long leg = h = 5√(3)

Hypotenuse = 5(2)

5√(3) ≈ 8.66

d ≈ 2.82

h ≈ 8.66

step-by-step explanation:

here's what happens:

1) the graph of f   = x^2 is shifted 2 units to the right.

2) the resulting graph is reflected in the x-axis, so that the parabola now opens down.

3) this final result is transformed up by 5 units.