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ikadub [295]
2 years ago
5

AB is congruent to DE because segment DE was constructed so that DE = AB. BC is congruent to EF because segment EF was construct

ed so that EF = BC. Since ADEF is a right triangle, DE+ EF? = DF? by the We are given that AB + BC2 = AC? Since DE = AB and EF = BC, DE2 + EF2 = AC? by the Also, DF2 = AC2 by the Taking the square root of both sides of the equation gives DF = AC. So, AC is congruent to DF by the definition of congruence. Applying the AABC - ADEF. By CPCTC, ZB _ZE. Therefore ZB is a right angle and AABC is a right triangle.
Mathematics
1 answer:
Alex Ar [27]2 years ago
6 0

DE = AB, EF = BC and AC = DF, hence triangle ABC is congruent to triangle DEF.

<h3>Congruent shape</h3>

Two shapes are said to be congruent if they have the same shape, all their corresponding angles and sides are congruent to one another.

Given that DE = AB and BC = EF.

In right triangle DEF, using Pythagoras:

DF² = DE² + EF²

Also, In right triangle ABC, using Pythagoras:

AC² = AB² + BC²

But DE = AB and EF = BC, hence:

AC² = DE² + EF²

AC² = DF²

Taking square root of both sides, hence:

AC = DF

Since DE = AB, EF = BC and AC = DF, hence triangle ABC is congruent to triangle DEF.

Find out more on Congruent shape at: brainly.com/question/11329400

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Archy [21]

Answer:

<u><em>28 minutes.</em></u>

Step-by-step explanation:

We can see from our graph that 12 minutes after starting the race Lynn left Kael behind and he ran at a greater speed till the race ended after 40 minutes.

To find total number of minutes Lynn ran faster than Kael we will subtract 12 from 40.

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2 years ago
Find the missing side length.
MaRussiya [10]

x = 6

Explanation:

use the pythagorean theorem which is <u>a^2 + b^2 = c^2</u>. 8 goes in either the a or b position and 10 is the longest side so it will go in the c position.

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3 years ago
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Hunter-Best [27]
The answer is B (Sorry for the bad handwriting.)

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3 years ago
The size of a large milkshake is 1.4 times the size of a medium milkshake.write 1.4 as a percent
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3 years ago
Read 2 more answers
Simplify expression -6x^2+4-x^2+15x
zloy xaker [14]

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-7x² + 15x + 4 is your answer

hope this helps

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