Answer:
1) 14 square units
2) 17.5 square units
Step-by-step explanation:
The formula to find the area of a triangle is:
[tex]\boxed{\begin{array}{l}\underline{\textsf{Area of a triangle}}\\\\A=\dfrac{1}{2}bh\\\\\textsf{where:}\\\phantom{ww}\bullet\; \textsf{$A$ is the area.}\\ \phantom{ww}\bullet\;\textsf{$b$ is the base.}\\ \phantom{ww}\bullet\;\textsf{$h$ is the height (perpendicular to the base).}\end{array}}[/tex]
[tex]\dotfill[/tex]
Question 1
From observation of the given triangle, the base (b) measures 7 units and the height (h) is 4 units.
Substitute these values into the area formula and solve for A:
[tex]\textsf{Area}=\dfrac{1}{2} \times 7 \times 4\\\\\\\textsf{Area}=\dfrac{1}{2} \times 28\\\\\\\textsf{Area}=\dfrac{28}{2}\\\\\\\textsf{Area}=14\; \sf square\;units[/tex]
So, the area of the triangle is 14 square units.
[tex]\dotfill[/tex]
Question 2
From observation of the given triangle, the base (b) measures 5 units and the height (h) is 7 units.
Substitute these values into the area formula and solve for A:
[tex]\textsf{Area}=\dfrac{1}{2} \times 5 \times 7\\\\\\\textsf{Area}=\dfrac{1}{2} \times 35\\\\\\\textsf{Area}=\dfrac{35}{2}\\\\\\\textsf{Area}=17.5\; \sf square\;units[/tex]
Therefore, the area of the triangle is 17.5 square units.
