Question

1. measure the base and height of each triangle to the nearest tenth of a centimetre. calculate each area. b = h = a =

Explanation:

Step1: Measure base and height

First, we need to measure the length of the base (\(b\)) and the height (\(h\)) of the triangle using a ruler (assuming we can physically measure it, but since this is a problem, let's assume we have the values. Wait, actually, maybe the triangle is drawn with specific lengths. Wait, the image shows a triangle, but since we can't see the actual measurements, maybe this is a problem where we first measure \(b\) and \(h\). Let's assume for example, if we measure the base as \(b = 4.0\) cm and height as \(h = 3.0\) cm (but in reality, we need to measure). Wait, maybe the original problem has the triangle with base and height that we can measure. Let's proceed with the formula. The formula for the area of a triangle is \(A=\frac{1}{2}\times b\times h\).

Step2: Calculate area

Once we have \(b\) and \(h\), we use the formula \(A = \frac{1}{2}bh\). For example, if \(b = 5.0\) cm and \(h = 4.0\) cm, then \(A=\frac{1}{2}\times5.0\times4.0 = 10.0\) \(cm^2\). But since we need to measure first, let's say we measure the base (the horizontal side) and the height (the dashed line, which is perpendicular to the base). Let's assume after measuring, \(b = 6.0\) cm and \(h = 4.5\) cm. Then \(A=\frac{1}{2}\times6.0\times4.5=\frac{27.0}{2}=13.5\) \(cm^2\).

Wait, but the problem says "Measure the base and height of each triangle to the nearest tenth of a centimetre. Calculate each area." So first, we need to measure \(b\) and \(h\) (using a ruler, probably). Let's suppose that when we measure the base (the bottom side) and the height (the dashed altitude), let's say:

Suppose the base \(b = 5.0\) cm (measured to nearest tenth), height \(h = 3.5\) cm (measured to nearest tenth). Then:

\(A=\frac{1}{2}\times5.0\times3.5=\frac{17.5}{2}=8.75\approx8.8\) \(cm^2\) (rounded to nearest tenth).

But since the actual measurements depend on the drawing, the key steps are:

1. Measure \(b\) (base) and \(h\) (height) with a ruler, rounding to nearest tenth of a cm.
2. Use \(A=\frac{1}{2}bh\) to calculate the area.

Answer:

To solve, first measure the base (\(b\)) and height (\(h\)) of the triangle (e.g., using a ruler) to the nearest tenth of a centimeter. Then use the formula \(A=\frac{1}{2}bh\) to calculate the area. For example, if \(b = 6.0\) cm and \(h = 4.0\) cm, then \(A=\frac{1}{2}\times6.0\times4.0 = 12.0\) \(cm^2\). (Note: Actual values depend on the physical measurement of the triangle in the image.)