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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

2160ft3

step-by-step explanation:

x = 2

step-by-step explanation:

if sr parallel to ba then the sides bc and ac are in proportion, that is

= ← substitute values

= ( cross- multiply )

27x = 6(4x + 1)

27x = 24x + 6 ( subtract 24x from both sides )

3x = 6 ( divide both sides by 3 )

x = 2