Question

11 multiple choice 1 point what is the area of \\( \triangle a b c \\) if \\( a d=20 \\) and \\( b c=25 \\)? 250 200 550 150

Explanation:

Step1: Recall the formula for the area of a triangle

The formula for the area of a triangle is \(A=\frac{1}{2}\times base\times height\). In \(\triangle ABC\), \(BC\) is the base and \(AD\) is the height.

Step2: Substitute the given values into the formula

We are given that \(AD = 20\) (height) and \(BC=25\) (base). Substitute these values into the formula \(A=\frac{1}{2}\times BC\times AD\). So, \(A=\frac{1}{2}\times25\times20\).
First, calculate \(25\times20 = 500\). Then, \(\frac{1}{2}\times500=250\).

Answer:

250