Mathematics: (distance/midpoint formula) - triangle abc has vertices on the coordinate plane at a(-6.3, 7.2) b(2.2, 4.4) and c(5.6, -3.4) find the length of bc.

The answer would be 27 for your information...

(distance/midpoint formula) - triangle abc has

Jennifer2005

08.01.2022

8.51 units

Step-by-step explanation:

Given:

A(-6.3,7.2),B(2.2,4.4), C(5.6,-3.4)

Length of BC can be obtained using distance formula.

For two points $A(x_{1},y_{1})$ and $B(x_{2},y_{2})$ , length of AB is given as:

$AB=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$

Plug in 2.2 for $x_{1}$ , 4.4 for $y_{1}$ , 5.6 for $x_{2}$ , and -3.4 for $y_{2}$ . Solve for BC

$BC=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\ BC=\sqrt{(5.6-2.2)^{2}+(-3.4-4.4)^{2}}\\ BC=\sqrt{3.4^{2}+(-7.8)^{2}}=\sqrt{72.4}=8.51$

Therefore, the length of BC is 8.51 units.

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