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Tanya [424]
3 years ago
15

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?

Mathematics
1 answer:
Licemer1 [7]3 years ago
4 1
For this you'll want to draw out Triangle ABC and label it as the problem gives you.

Draw a similar triangle to the first one you drew and label it the exact same way as "ABC" and then match the measurement "AB" to "HJ".

Hope this helps.
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Please answer before Monday 9 a.m.I have to go to school that day at that time.
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Answer:

  • <u>First choice, 984 cm²</u>

Explanation:

The plastic pencil case has form of a triangular prism.

This triangular prism has five faces:

  • Top and bottom faces: two congruent triangles with a 10 cm base and 12 cm height.

  • Lateral faces: two congruent rectangles with a 24 cm length and 13 cm widht, and one rectangle with 24 cm length and 10 cm widht.

<u>Surface area:</u>

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        area = (1/2) base × height

         area of one triangle = 10 cm × 12 cm × (1/2) = 60 cm²

          area of the two triangles = 2 × 60 cm² = 120 cm²

  • <u>Lateral rectangles:</u>

        area of a rectangle = length × width

         area of the trhee triangles = 24 cm × 10 cm + 2 × 24 cm × 13 cm = 240 cm² + 624 cm² = 864 cm².

  • <u>Total area: </u>120 cm² + 864 cm² = 984 cm²

Answer: first choice, 984 cm²

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