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storchak [24]
2 years ago
15

Can someone please help me?

Mathematics
1 answer:
lawyer [7]2 years ago
3 0
Area is 140 and perimeter is 16
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A piece if wire 40cm is bent to form a right angled triangle whose hypotenuse is 17cm long find the other two sides of triangle
hjlf

Answer: 150mm

Step-by-step explanation:

Take the two adjecent sides of the triangle to be x and y and X is the angle opposite the side, x.

From the trigonometric identities for a right-angled triangle, it is known that

x=170sin X and;

y=170cos X

Thus the perimeter of the triangle is given by

170sin X + 170cos X + 170 = 400

170(sin X + cos X) = 400 - 170

170(sin X + cos X) = 230

sin X + cos X = 230/170 = 1.3529

Squaring both sides hence,

sin^2(X) + 2sin X.cos X + cos^2(X) = 1.8304

Recall that sin^2(X) + cos^2(X) = 1 and 2sin X.cos X = sin 2X.

Thus, the former expression gives;

1 + sin 2X = 1.8304

sin 2X = 0.8304

2X = arcsin (0.8304)

2X = 56.14° or (180 - 56.14)° = 56.14° or 123.86° for X existing within a triangle.

X = 56.14/2 or 123.86/2

X = 28.07° or 61.93°

Thus the two adjacent sides are ;

x = 170 sin (28.07) = 80mm

y = 170 cos (28.07) = 150mm

Using the value of 61.93° as X would give the same values but interchanged for x and y.

I hope you find this useful.

5 0
3 years ago
What is the equation for p?
STALIN [3.7K]
F(x)=(x)-1 I think that’s the answer but use Desmos to figure out
6 0
2 years ago
Not sure need help ​
WITCHER [35]

Answer:

the circumference is 31.4159 (or 31.42)

5 0
3 years ago
I need this awnser because if i dont do 16 lessons i fail my math class
Lemur [1.5K]

Answer:

I'd say it is:

y/x of point m equals y/x point n

Step-by-step explanation:

6 0
3 years ago
Desperate<br> please Hurry<br> Question Down Below
aliina [53]

Answer:

4

Step-by-step explanation:

6+10=16

2+2=4

16/4 = 4

8 0
2 years ago
Read 2 more answers
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