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ser-zykov [4K]
3 years ago
7

The three sides of a triangle are 4cm, 6cm and 8cm.

Mathematics
1 answer:
yarga [219]3 years ago
6 0

Answer:

In bold below.

Step-by-step explanation:

(a) The largest angle is opposite the largest side.

So by the Cosine Rule:

8^2 = 4^2 + 6^2 - 2*4*6 cos x

cos x =  (8^2 - 4^2 - 6^2) / (-2*4* 6)

= -0.25.

x = 104.48 degrees.

(b) Area of the triangle = 1/2 * 4 * 6 sin 104.48

= 11.62

= 3 √15.

(c)  The shortest altitude will have the longest sides as the base.

Area = 1/2 * altitude * base

3√15 = 1/2 * 8 * a

a = 3√15 / 4 cm

= 0.75√15 cm.

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kolezko [41]

Answer:

x = 4 \\ z = 106

Step-by-step explanation:

(5x + 86) + (10x + 34) = 180 \\ 15x + 120 = 180 \\ 15x = 180 - 120 \\ 15x = 60 \\  \\ x =  \frac{60}{15}  \\  \\ x = 4

(5x + 86) = 5(4) + 86 = 20 - 86 = 106

Z= 106 —> Opposite angles

I hope I helped you^_^

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2 years ago
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nekit [7.7K]

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Here are some samples, feel free to make more if you need to:

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Marizza181 [45]

Answer:

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