The areas of similar triangles `deltaabc` and `deltadef` are equal. if the longest side of `deltadef` measures 25 units, what is the length of the longest side of `deltaabc`? a. 5 units b. 25 units c. 50 units d. 75 units

There is a theorem which states that "If the areas of two similar triangles are equal then the triangles are congruent."

So, the longest side of Δ DEF will be congruent to ΔABC.

Longest side of Δ DEF ≡ Longest side of ΔABC.

Suppose in the diagram, the longest side of the Δ DEF is EF and longest side of Δ ABC is BC.

So, EF = BC

Since, EF= 25 units is given.

So, BC= 25 units.

Hence, longest side of triangle ABC is 25 units.

the circumference of a circle is, 10.676 cm.

step-by-step explanation:

the formula for circumference of a circle is given by:

where

c is the circumference of a circle and

d is the diameter of a circle.

given: diameter(d) = 3.4 cm and use

substitute these values in [1] we get;

cm

therefore, the circumference of a circle is, 10.676 cm