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umka21 [38]
3 years ago
12

The area of triangle ABC is?

Mathematics
1 answer:
melisa1 [442]3 years ago
5 0

Answer:

A(\triangle ABC) =17.5 \:  {units}^{2}

Step-by-step explanation:

AB = 4 - (-3) = 4 + 3 = 7 units

BC = 3 - (-2) = 3 + 2 = 5 units

A(\triangle ABC) = \frac{1}{2} \times AB\times BC \\  \\ A(\triangle ABC) = \frac{1}{2} \times 7\times 5 \\  \\ A(\triangle ABC) = \frac{1}{2} \times 35 \\  \\ A(\triangle ABC) =17.5 \:  {units}^{2}

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2 years ago
A triangular pyramid is formed from three right triangles as shown below.
Lady bird [3.3K]

ΔADC is a right angle triangle, we will use the Pythagorus Theorem to find the length CD.

Formula of the Pythagorus Theorem :  

⇒ a² + b² = c²

⇒ AD² + CD² = AC²

The value of AD is 54 and the value of AC is 90:

54² + CD² = 90²

Solve for CD:

54² + CD² = 90²

CD² = 90² - 54²

CD² = 5184

CD = √5184

CD = 72

ΔADC is also a right angle triangle, we will use the Pythagorus Theorem to find the length BD.

Formula of the Pythagorus Theorem :  

⇒ a² + b² = c²

⇒ BD² + CD² = BC²

The value of CD is 72 and the value of BC is 97:

BD² + 72² = 97²

Solve for BD:

BD² = 97² - 72²

BD² = 4225

BD = √4225

BD = 65

Answer: The length of BD is 65 units.

7 0
3 years ago
Hurry ASAP I need help on 3 and 4
attashe74 [19]

Answer:

3.B

4.A

Step-by-step explanation:

3 0
3 years ago
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I would if someone could answer this :)
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1- 90
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