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shusha [124]
2 years ago
11

Geometry... Please help and I'll mark brainliest. Triangle proofs & reasons

Mathematics
1 answer:
aliya0001 [1]2 years ago
6 0

Answer:

<em>We are given that,</em>

<em>Polygons ABC and DBC are triangles.</em>

<em>Also, ABC and DBC are </em><em>Right</em><em> Triangles as ∠ABC and ∠DBC are 90 respectively.</em>

<em>AB ↔ CD</em>

<em>Now,</em>

<em>From the </em><em>HL Congruency </em><em>we know that,</em>

<u><em>"Two </em></u><u><em>Right</em></u><u><em> triangles are congruent if the </em></u><u><em>Hypotenuses </em></u><u><em>and at least </em></u><u><em>One Side </em></u><u><em> of both the triangles correspond to each other.</em></u><em>"</em>

<em>Here,</em>

  • <em>Triangles ABC and DBC were given to be right triangles.</em>
  • <em>AB </em><em>and </em><em>CD</em><em> are the hypotenuses of </em><em>ΔABC</em><em> and </em><em>Δ DBC</em><em> respectively. (From the construction of the figure) and are given equal.</em>
  • The Side BC of both the triangles correspond as they share the side BC together.

Here, As the three conditions of being congruent through HL Congruency are satisfied, ΔABC &  Δ DBC are congruent through the HL Congruency Criterion.

<em>ΔABC</em><em> ≅ </em><em>Δ DBC </em><em>[Hence, Proved]</em>

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