Answer:
[tex]a=49[/tex]
Step-by-step explanation:
You would solve this the same way you would with any other triangle problem. You will plug in for the base and the height in this formula [tex]a=\frac{1}{2}bh[/tex].
[tex]a=\frac{1}{2}bh\\a=\frac{1}{2}(\sqrt{343})(\sqrt{28})[/tex]
Now we will multiply the two radicands.
[tex]a=\frac{1}{2}\sqrt{9604}[/tex]
For this we will split the 9604 into 49 and 196.
[tex]a=\frac{1}{2}\sqrt{49}\sqrt{196}[/tex]
Now we just take the square roots of those two and since they're perfect squares they'll be whole numbers.
[tex]a=\frac{1}{2}(7)(14)[/tex]
Next we just multiply everything together.
[tex]a=49[/tex]
