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aivan3 [116]
3 years ago
12

What is HB? Triangle Mid-segment Theorem

Mathematics
1 answer:
Scorpion4ik [409]3 years ago
7 0

Answer:

HB = 13

Step-by-step explanation:

In triangle GHJ, points A, B, C are mid points of the sides GH, HJ, GJ respectively.

Therefore by Mid-segment Theorem.

AC = \frac{1}{2}  HJ \\  \\ 3y - 5 =  \frac{1}{2} (4y + 2) \\  \\  3y - 5 =  \frac{1}{2} \times 2 (2y + 1) \\  \\  3y - 5 =  2y + 1\\  \\ 3y - 2y = 5 + 1 \\  \\ y = 6 \\  \\ HJ = 4y + 2  \\  \\  HJ = 4 \times 6 + 2  \\  \\ HJ = 24 + 2  \\  \\ HJ = 26  \\  \\ HB= \frac{1}{2}  HJ \\  \\ HB= \frac{1}{2}   \times 26 \\  \\ \huge \red{ \boxed{ HB= 13}}

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