Calcula los lados desconocidos del siguiente triángulo sabiendo que el perímetro mide 36 cm, el lado BC 10 cm y la altura sobre el lado mayor, AB, mide 8 cm

AC = 11.6 cm

AB = 14.4 cm

Step-by-step explanation:

To make the solution easier, we can draw the triangle, as in the image attached.

Let's call the side AC = x, and the bigger side AB = y

The height of 8 cm divide the bigger side in two parts, a and b, in the point H.

In the triangle CHB, we can use pythagoras formula to find the value of a:

a^2 + 8^2 = 10^2

a^2 = 100-64 = 36

a = 6

then, we have that a + b = y -> b = y - 6

Now, using the pythagoras formula in triangle CHA:

8^2 + (y-6)^2 = x^2

64 + y^2 - 12*y + 36 = x^2

x^2 - y^2 + 12*y = 100

From the perimeter of the triangle, we have that:

x + y + 10 = 36 -> x + y = 26 -> x = 26 - y

Then, using this value of x in the equation above, we have:

(26 - y)^2 - y^2 + 12*y = 100

676 - 52*y + y^2 - y^2 + 12*y = 100

40*y = 576

y = 14.4 cm

Now we can find x:

x = 26 - y = 26 - 14.4 = 11.6 cm

answer:

it is general formula that is used to write value to its excet position

a11 a12 a13

a21 a22 a23

it is the example of order 2 by 3 matrix in this

a11 means value occur in 1 st row 1st column

a12 means value occurs in 1st row 2nd column

a13 means value occur in 1st row and 3rd column

a21 means value occurs in 2nd row and 1st column

a22 means value occurs in 2nd row and in 2nd column

a23 means value occurs in 2nd row and in 3rd column

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step-by-step explanation: