Question

measure the base and height of each triangle to the nearest tenth of a centimetre. calculate each area.
11.

b = ______
h = ______
a = ______
12.

b = ______
h = ______
a = ______
13.

b = ______
h = ______
a = ______
find the missing measure.
14.

b
a = 54 m²
b = ______
15.
8 cm
h
a = 38.8 cm²
h = ______

Explanation:

Question 14

Step1: Recall triangle area formula

The area formula for a triangle is \( A = \frac{1}{2} \times b \times h \), where \( b \) is the base and \( h \) is the height.

Step2: Substitute known values

We know \( A = 54 \, \text{m}^2 \) and \( h = 4.5 \, \text{m} \). Substitute into the formula: \( 54 = \frac{1}{2} \times b \times 4.5 \).

Step3: Solve for \( b \)

First, simplify the right - hand side: \( \frac{1}{2} \times 4.5=\frac{4.5}{2} = 2.25 \). So the equation becomes \( 54=2.25\times b \). Then, divide both sides by \( 2.25 \): \( b=\frac{54}{2.25}=24 \, \text{m} \).

Step1: Recall triangle area formula

The area formula for a triangle is \( A=\frac{1}{2}\times b\times h \), where \( b \) is the base and \( h \) is the height.

Step2: Substitute known values

We know \( A = 38.8 \, \text{cm}^2 \) and \( b = 8 \, \text{cm} \). Substitute into the formula: \( 38.8=\frac{1}{2}\times8\times h \).

Step3: Solve for \( h \)

First, simplify the right - hand side: \( \frac{1}{2}\times8 = 4 \). So the equation becomes \( 38.8 = 4\times h \). Then, divide both sides by \( 4 \): \( h=\frac{38.8}{4}=9.7 \, \text{cm} \).

Answer:

\( b = 24 \, \text{m} \)

Question 15