Question

The base of a triangle is....

Answer 1

Answer:

$a=49$

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 $a=\frac{1}{2}bh$.

$a=\frac{1}{2}bh\\a=\frac{1}{2}(\sqrt{343})(\sqrt{28})$

Now we will multiply the two radicands.

$a=\frac{1}{2}\sqrt{9604}$

For this we will split the 9604 into 49 and 196.

$a=\frac{1}{2}\sqrt{49}\sqrt{196}$

Now we just take the square roots of those two and since they're perfect squares they'll be whole numbers.

$a=\frac{1}{2}(7)(14)$

Next we just multiply everything together.

$a=49$