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Andrej [43]
2 years ago
7

Prove that ABC is a right triangle. Select the correct answer from each drop down menu.

Mathematics
1 answer:
Andrew [12]2 years ago
4 0

All the blanks have been filled , which proves ultimately that Triangle ABC is a right angled Triangle.

<h3>What is Right Angled Triangle ?</h3>

A triangle in which one angle is 90 degree is called a Right Angled Triangle.

AB is congruent to DB because segment DE was constructed so that DE = AB , BC is congruent to EF , because segment EF was constructed so that EF = BC , Since Triangle DEF is a right angled triangle .

DE² +EF²  = DF²  by the Pythagoras Theorem .

WE are given that AB²  +BC²  = AC²

Since DE = AB and EF = BC , DE²  +EF²  = AC²  by the given data

Also DF² = AC² by the above equation .

Taking the square root on both the sides of the equation gives DF = AC .

So AC is congruent to DF by the definition of congruency .

Applying SSS Congruency , Triangle ABC is congruent to DEF .Therefore ABC is a right angled triangle.

To know more about Right Angled Triangle

brainly.com/question/3770177

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Joe's Painting charges $100 plus $20 per hour to paint the exterior of your home. Steve's Painting charges $120 plus $15 per hou
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Joe's Painting: 20x + 100 = y

Steve's Painting: 15x + 120 = y

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y = total income

We can find when the two equations intersect by making them equal to each other. That means we put an equal sign in the middle. So, it would look something like this:

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First, we have to move the 100 by subtracting it from both sides.

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3 years ago
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B. No. The product of two fractions is the product of the numerators divided by the product of the denominators.

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For B: The first part is correct, which is that to multiply two fractions, they dont have to have like/common denominators, the explanation part is also correct. When we multiply we multiply the numerator to the numerator and the denominator to the denominator.

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I hope this helps, have a blessed day! :D

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