Question

10 multiple choice 2 points look at square strw. which of these can be used to find the area, a, of triangle trw? $a = \frac{1}{2}(6.5 \times 13)$ $a = \frac{1}{2}(6.5 \times 6.5)$ $a = \frac{1}{2}(13 \times 13)$ $a = 13 \times 13$

Explanation:

Step1: Recall the area formula for a triangle

The area formula for a triangle is \(A=\frac{1}{2}\times base\times height\).

Step2: Identify the base and height of triangle \(TRW\)

Since \(STRW\) is a square, \(TR = RW= 13\) mm. For triangle \(TRW\), the base \(b = 13\) mm and the height \(h = 13\) mm.

Step3: Substitute into the area formula

Substitute \(b = 13\) and \(h = 13\) into \(A=\frac{1}{2}\times base\times height\), we get \(A=\frac{1}{2}(13\times13)\).

Answer:

\(A=\frac{1}{2}(13\times13)\) (the third option)