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What additional information do you need to know in order to prove the two triangles congruent using HiL?

What additional information do you need to know in order to prove the two triangles-example-1
User Atul K
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1 Answer

17 votes
17 votes

Given

The triangles,

To find:

What additional information do you need to know in order to prove the two triangles are congruent using HL rule?

Step-by-step explanation:

It is given that,

That implies,

Since HL rule states that,

If the hypotenuse and a single leg (HL) are proportional between two right triangles, then the triangles are similar.

From, the figure,

The two right triangles have same hypotnuse YW and the leg WZ and XY are proportinal.

Therefore, the triangle WXY and WZY are congruent.

Hence, no additional information is needed to prove that the two triangles are congruent.

What additional information do you need to know in order to prove the two triangles-example-1
User Henrik Opel
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3.0k points