IDNLearn.com offers a unique blend of expert answers and community-driven insights. Discover comprehensive answers to your questions from our community of knowledgeable experts.
We know that the triangle has an area of 53 sq in.
We also know that the area of any triangle is:
[tex]A=\frac{1}{2}b\cdot h[/tex]In this case, the base and the height are equal to x. Then:
[tex]A=\frac{1}{2}x\cdot x=\frac{1}{2}x^2[/tex]And, as we said, the area is 53, this means that:
[tex]\frac{1}{2}x^2=53[/tex]Solving for x, we have:
[tex]\begin{gathered} \frac{1}{2}x^2=53 \\ x^2=2\cdot53 \\ x^2=106 \\ x=\sqrt[]{106} \\ x=10.3 \end{gathered}[/tex]Therefore, x=10.3.