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Vlad1618 [11]
3 years ago
14

given that BD is both the median and altitude of triangle ABC, congruence postulate SAS is used to prove that triangle ABC is wh

at type of triangle?

Mathematics
2 answers:
stira [4]3 years ago
7 0

Answer:

Isosceles

Step-by-step explanation:

Consider triangle ABC, BD is the median and the altitude drawn to the side AC. This segment (BD) divide the triangle ABC into two triangles: ABD and CBD.

In these triangles:

  • AD=DC (because BD is the median);
  • ∠ADB=∠CDB=90° (because BD is the altitude);
  • BD is common side.

Thus, by SAS postulate, triangles ABD and CBD are conruent. Congruent triangles have congruent corresponding sides. Hence, AB=CB.

If in triangle ABC, AB=BC, then this triangle is isosceles.

Leno4ka [110]3 years ago
3 0

Answer:

Isosceles (apex)

Step-by-step explanation:

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I. Tell whether each statement is TRUE or FALSE. Refer to the figure below. Write your answer on the space provided.
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1. TRUE

2. TRUE

3. TRUE

4. TRUE

5. FALSE

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1. From the diagram, we have that m∠2 and m∠7 are alternate interior angles

If m∠2 = 70° and m∠7 = 70°, then we have;

m∠2 = 70° = m∠7

m∠2 = m∠7

Therefore, the alternate interior angles of the lines l₁, and l₂ are equal, and therefore, the lines l₁ and l₂ are parallel, l₁ ║ l₂

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2. If m∠3 = 90° and m∠7 = 90°, therefore, the angle formed by the intersection of l₃ and l₂ = 90°

Therefore l₃ ⊥ l₂

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3. m∠5 and m∠7 are corresponding angles

If m∠5 = 85° and m∠7 = 85°, then, m∠5 = m∠7

Therefore, the corresponding angles formed by the lines l₁ and l₂ are equal, therefore;

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