Answer:
x = 6 cm
Step-by-step explanation:
To find the area of a triangle, we can use the formula:
[tex] \textsf{Area} = \dfrac{1}{2} \times \textsf{base} \times \textsf{height} [/tex]
Given:
- Base: 7 cm
- Height: x cm
- Area: 21 cm²
Substitute these values into the formula:
[tex] 21 = \dfrac{1}{2} \times 7 \times x [/tex]
[tex] 21\cdot 2 =7 \times x [/tex]
[tex] \dfrac{\cancel{21}_3\cdot 2}{\cancel{7}} = x [/tex]
[tex] 3 \cdot 2 = x [/tex]
[tex] 6 = x [/tex]
[tex] x = 6 [/tex]
So, the value of x is 6 cm.
