Liliana solved the equation below. When she tried to verify her answer, she realized she made an error.
2 answers:
Answer:
Step 3 of substracting 6 from both sides.
Step-by-step explanation:
We are given the following information in the question:
We are given the equation:
Multiplying the constant term we get,
Subtracting 6 from both the sides we get,
Liliana made a mistake in the step of subtracting 6 from both sides. She subtracted 6 from the left side bu added 6 on the right side instead of subtracting from the right side.
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Answer: The area of the triangle ABC is 168 cm square.
Explanation:
Let the area of the triangle ABC be x cm square.
It is given that In △ABC point D is the midpoint of AB , point E is the midpoint of BC , and point F is the midpoint of BE .
As we know that a median of a triangle divides the area of a triangle in two equal parts. Since D is a midpoint of AB and AD is median of triangle ABC. So area of triangle ACD and BCD is half of the area of triangle ABC.
The area of ACD and BCD is .
Since E is a midpoint of BC and DE is median of triangle BCD. So area of triangle BDE and CDE is half of the area of triangle BCD.
The area of BDE and CDE is .
Since F is a midpoint of BE and DF is median of triangle BDE. So area of triangle BDF and DEF is half of the area of triangle BDE.
The area of BDF and DEF is . As shown in below figure.
It is given that the area of △DCF= 63 cm.
From the figure the area of △DCF is,
Therefore the area of triangle ABC is 168 cm square.
