Answer:
6
Explanation:
Important info given:
- two triangles.
- A triangle has a base A and height 8 cm.
- Another triangle has a base of 3 cm and height of 4 cm.
Step 1: We need to determine the length of side A.
Since, these two triangles are similar, let us use the property of similarity of triangles to determine the length of side A.
Therefore we have:
![(8)/(4) = (a)/(3)](https://img.qammunity.org/2023/formulas/mathematics/high-school/5i6cpm53jfbxwofh7pzvyytq2k8udnygqw.png)
Step 2: Multiplying by 3, and then we have:
![(8*3)/(4)=a](https://img.qammunity.org/2023/formulas/mathematics/high-school/5ej2h71e6hq0k0jt4zn7kutmzvguof1y8h.png)
![(24)/(4)=a](https://img.qammunity.org/2023/formulas/mathematics/high-school/lumjuv58xkmsrtqdiz58ts0kymu224u0h2.png)
Step 3: Simplify, and we get:
6 = a
Hence, the length of side A is 6 cm.
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