Solve 10.5^2+15.4^2-12.9^2/2*10.5*15.4

$$\frac { 10.5 ^ { 2 } + 15.4 ^ { 2 } - 12.9 ^ { 2 } } { 2 \times 10.5 \times 15.4 }$$

Evaluate

$$\frac{905}{1617}\approx 0.559678417$$

Solution Steps

Calculate 10.5 to the power of 2 and get 110.25.

$$\frac{110.25+15.4^{2}-12.9^{2}}{2\times 10.5\times 15.4}$$

Calculate 15.4 to the power of 2 and get 237.16.

$$\frac{110.25+237.16-12.9^{2}}{2\times 10.5\times 15.4}$$

Add 110.25 and 237.16 to get 347.41.

$$\frac{347.41-12.9^{2}}{2\times 10.5\times 15.4}$$

Calculate 12.9 to the power of 2 and get 166.41.

$$\frac{347.41-166.41}{2\times 10.5\times 15.4}$$

Subtract 166.41 from 347.41 to get 181.

$$\frac{181}{2\times 10.5\times 15.4}$$

Multiply 2 and 10.5 to get 21.

$$\frac{181}{21\times 15.4}$$

Multiply 21 and 15.4 to get 323.4.

$$\frac{181}{323.4}$$

Expand \frac{181}{323.4} by multiplying both numerator and the denominator by 10.

$$\frac{1810}{3234}$$

Reduce the fraction \frac{1810}{3234} to lowest terms by extracting and canceling out 2.

$$\frac{905}{1617}$$

Factor

$$\frac{5 \cdot 181}{3 \cdot 11 \cdot 7 ^ {2}} = 0.559678416821274$$