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Zielflug [23.3K]
2 years ago
12

PLS HELP 30 POINTS IF YOU ANSWER THIS! AND BARIN LIST. PRETTY SIMPLE.

Mathematics
1 answer:
Vesna [10]2 years ago
4 0

By HL theorem we can conclude that both the triangles are congruent

ΔAED ≅ ΔBEC

<h3>What is HL theorem?</h3>

HL theorem: The Hypotenuse-Leg (HL) Triangle Congruence Theorem is a special case that allows you to show that two right triangles are congruent. If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent.

Jackie made a mistake by determining ΔADE is congruent to ΔCBE

we can't conclude it directly because the angles at D and B may be different

∠E=90° and given that hypotenuse of both the triangles are congruent

AD≅CB and leg of the two triangles are congruent AE≅BE

then by HL theorem we can conclude that both the triangles are congruent

ΔAED ≅ ΔBEC

to learn more about HL theorem visit:

brainly.com/question/3914939

#SPJ1

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the lengths of the two sides of a right triangle are 5 inches and 8 inches . what is the difference between the two possible len
attashe74 [19]
Answer:
The difference between the two possible lengths is 3.2 in

Explanation:
Assume that the sides of the triangle are:
a = 5
b = 8
c = x

First, we will assume that the third side is the hypotenuse:
For the triangle to be right angled:
c^2 = a^2 + b^2
Substitute with the values of a, b and c in the equation and solve for x as follows:
c^2 = a^2 + b^2
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So, first possible value of the third side is 9.433 in

Second, we will assume that the 8 in is the hypotenuse of the triangle.
For the triangle to be right angled:
b^2 = a^2 + c^2
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either x = 6.245 in
or x = -6.245 in (refused as no length is in negative)
Therefore, the second possible value of the third side is 6.245 in

Finally, we will get the difference between the two length as follows:
difference = 9.433 - 6.245 = 3.188 which is approximately 3.2 in

Note:
We cannot assume that the 5 in is the hypotenuse because in the right-angled triangle the hypotenuse is the longest side. We are given that one side = 8 in therefore, it is impossible for the 5 in to be the hypotenuse.

Hope this helps :)
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