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olga2289 [7]
4 years ago
14

Calculate the area of this triangle. 13 cm 5 cm -12 cm-

Mathematics
1 answer:
leva [86]4 years ago
8 0

Answer:

30 cm^2.

Step-by-step explanation:

This is a right angled triangle because it fits the Pythagoras theorem ( 13^2 = 12^2 + 5^2).

The area = 1/2 * 12 * 5

=  30 cm^2.

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\bf \stackrel{mixed}{2\frac{1}{3}}\implies \cfrac{2\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{7}{3}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{z}{5}-4=\cfrac{7}{3}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{15}}{15\left( \cfrac{z}{5}-4 \right)=15\left( \cfrac{7}{3} \right)}\implies 3z-60=35 \\\\\\ 3z=95\implies z=\cfrac{95}{3}\implies z = 31\frac{2}{3}

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3 years ago
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