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Zielflug [23.3K]
3 years ago
15

Please solve the given problem please please please please please please please please​

Mathematics
1 answer:
Serjik [45]3 years ago
7 0

(9x 3) x (8 divied 5)

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8 0
4 years ago
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What must be the sides of an equilateral triangle so that it's area should be equal to the area of an isosceles triangle with ba
d1i1m1o1n [39]

Answer:

The sides of the equilateral triangle are 11.7 m.

Step-by-step explanation:

Let's find the area of the isosceles triangle:

A_{i} = \frac{bh}{2}

Where:

b: is the base = 12 m

h: is the height

We can find the height by using Pitagoras:

x^{2} = \frac{b^{2}}{2} + h^{2}    

Where:

x is the hypotenuse = side of the triangle = 10 m

h = \sqrt{x^{2} - \frac{b^{2}}{2}} = \sqrt{(10)^{2} - 6^{2}} = 8 m

Then, the area is:

A_{i} = \frac{12*8}{2} = 48 m^{2}

Now, since the area of the isosceles triangle is equal to the area of the equilateral triangle:

A_{e} = A_{i} = 48 m^{2}

A_{e} = \frac{bh}{2}

The height of the equilateral triangle is given by:

b^{2} = \frac{b^{2}}{2} + h^{2}    

h = \sqrt{b^{2} - \frac{b^{2}}{2}} = \frac{b}{\sqrt{2}}

Hence, the sides are:

A_{e} = \frac{1}{2}b\frac{b}{\sqrt{2}} = \frac{b^{2}}{2\sqrt{2}}            

b = \sqrt{A*2\sqrt{2}} = \sqrt{48*2\sqrt{2}} = 11.7 m      

Therefore, the sides of the equilateral triangle are 11.7 m.

I hope it helps you!      

7 0
3 years ago
Read 2 more answers
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