use an algebraic equation to solve the problem. the sides of a triangle are in the ratio 3:4:5. what is the length of each side
1 answer:
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Answer:
72
Step-by-step explanation:
The area (A) of a rhombus is calculated as
A = × d₁ × d₂ (d₁ and d₂ are the diagonals )
The diagonals bisect each other at right angles
d₁ = 2 × 6 = 12
Use the tangent ration in the upper left right triangle and the exact value
tan60° =
tan60° = =
=
( multiply both sides by 6 )
opp = 6 , then
d₂ = 2 × 6 = 12
Thus
A = × 12 × 12
= 6 × 12
= 72
All triangles are 30-60-90, therefore the short legs (2) are half as much as the hypotenuse. Therefore the hypotenuse is 4. Because its a rhombus, all sides are congruent, so you have the length and width and can multiply them to get 16 square units.
