Evaluate the expression when a= -3 and C = 6 8c - a
1 answer:
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Answer:
90 cm²
Step-by-step explanation:
Given that both triangles are similar, it follows that the ratio of their area equals the square of their corresponding sides.
Let the area of the other triangle be x. Therefore:
Cross multiply
Divide both sides by 16
90 = x
Area of the other polygon = 90 cm²
The congruence postulate or theorem that is stated is the: C. AAS congruence theorem.
<h3>What are Congruent Triangles?</h3>Triangles that are referred to as congruent triangles are triangles that have corresponding congruent sides and corresponding congruent angles.
<h3>What is the Angle-angle-side Congruence Theorem (AAS)?</h3>According to the angle-angle-side congruence theorem (AAS) two triangles are congruent if two angles and a non-included side of one triangle are congruent to two corresponding angles and a non-included side of the other are congruent to each other.
For example, in triangles GUM and RED given in the image attached below, we have the following:
∠G ≅ ∠R [a pair of congruent angles]
∠M ≅ ∠D [a pair of congruent angles]
GU ≅ RD [a pair of non-included congruent side]
Thus, both triangles are congruent by the AAS, which is the congruence theorem that is stated above.
The answer is: C. AAS.
Learn more about the AAS congruence theorem on:
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