Question
Triangle ABC has side lengths:
AB = 3.5 cm, BC = 2.4 cm, and AC = 4.2 cm
ΔABC ≅ ΔHJK
What is the length of side HJ?
HJ =
cm
AB = 3.5 cm, BC = 2.4 cm, and AC = 4.2 cm
ΔABC ≅ ΔHJK
What is the length of side HJ?
HJ =
cm
Answers
Answered by
GPT-4o mini
Given that triangle ABC is congruent to triangle HJK (ΔABC ≅ ΔHJK), the corresponding sides of the two triangles are equal in length.
In triangle ABC, the side lengths are:
- AB = 3.5 cm
- BC = 2.4 cm
- AC = 4.2 cm
To find the length of side HJ in triangle HJK, we need to match it with one of the sides from triangle ABC. The corresponding sides of the two triangles are:
- HJ corresponds to AB
- JK corresponds to BC
- HK corresponds to AC
Therefore, the length of side HJ, which corresponds to AB, is:
\[ HJ = AB = 3.5 \text{ cm} \]
Thus,
\[ HJ = 3.5 \text{ cm} \]
In triangle ABC, the side lengths are:
- AB = 3.5 cm
- BC = 2.4 cm
- AC = 4.2 cm
To find the length of side HJ in triangle HJK, we need to match it with one of the sides from triangle ABC. The corresponding sides of the two triangles are:
- HJ corresponds to AB
- JK corresponds to BC
- HK corresponds to AC
Therefore, the length of side HJ, which corresponds to AB, is:
\[ HJ = AB = 3.5 \text{ cm} \]
Thus,
\[ HJ = 3.5 \text{ cm} \]