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Arte-miy333 [17]
3 years ago
10

What is the area of the triangle? 16 8 10

Mathematics
1 answer:
sertanlavr [38]3 years ago
3 0

Answer:

64

Step-by-step explanation:

Find the area of both triangles inside the bigger triangle and add them together.

Use the Pythagorean theorem to find the missing length of the leg in the smallest triangle:

a² + b² = c²

8² + b² = 10²

64 + b² = 100

36 = b²

6 = b

Calculate the area of the smaller triangle:

1/2(<em>b</em>x<em>h</em>)

1/2(6 x 8)

1/2(48)

24

Calculate the area of the bigger triangle:

<em>We know that the longer leg is 10 units because we were able to subtract the length of the smaller triangle's leg from 16.</em>

1/2(<em>b</em>x<em>h</em>)

1/2(10 x 8)

1/2(80)

40

Add both areas to find the area of the largest triangle:

40 + 24 = 64

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