On a piece of paper, use a protractor and a ruler to construct △ABC with AB=4 in. , AC=4 in. , and m∠A=60° . Which statement is
true about this triangle?
A) BC=3 in.
B) BC=4 in.
C) BC=5 in.
D) BC can not be measured
2 answers:
Answer: B) BC=4 in.
Step-by-step explanation:
Given: In △ABC , AB=4 inch ,AC=4 in. , and m∠A=60°
⇒ AB=AC= 4 inches
⇒ △ABC is an isosceles triangle.
⇒ m∠A=60°=m∠B [angles opposite to the equal sides of a triangle are equal]
Now by angle sum property,
m∠A+m∠B+m∠C=180°
⇒60°+60°+m∠C=180°
⇒ m∠C=180°-120°
⇒ m∠C=60°
⇒ △ABC is an equilateral triangle.
⇒ BC= 4 inches [sides of an equilateral triangles are equal]
⇒ B is the right answer.
Answer: B) BC=4 in.
Step-by-step explanation:
Given: In △ABC , AB=4 inch ,AC=4 in. , and m∠A=60°
⇒ AB=AC= 4 inches
⇒ △ABC is an isosceles triangle.
⇒ m∠A=60°=m∠B [angles opposite to the equal sides of a triangle are equal]
Now by angle sum property,
m∠A+m∠B+m∠C=180°
⇒60°+60°+m∠C=180°
⇒ m∠C=180°-120°
⇒ m∠C=60°
⇒ △ABC is an equilateral triangle.
⇒ BC= 4 inches [sides of an equilateral triangles are equal]
⇒ B is the right answer.
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Step-by-step explanation:
4x+45=3x+61
Collect like terms
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