IDNLearn.com provides a platform for sharing and gaining valuable knowledge. Our platform offers detailed and accurate responses from experts, helping you navigate any topic with confidence.
Sagot :
Step 1:
Concept: use the formula below to find the length snd base of a triangle.
[tex]\text{Area of a triangle = }\frac{Base\text{ }\times\text{ Height}}{2}[/tex]Step 2:
Given data
Area of a triangle = 30 square meters
Let the base = x
Height = x - 4
Step 3:
Substitute the values in the formula
[tex]\begin{gathered} 30\text{ = }\frac{x(x-4)}{2} \\ \text{Cross multiply} \\ x(x\text{ - 4) = 30}\times2 \\ x^2\text{ - 4x = 60} \\ x^2\text{ - 4x - 60 = 0} \\ x^2\text{ -10x + 6x - 60 = 0} \\ x(x\text{ - 10)+6(x - 10) = 0} \\ (x\text{ + 6)(x - 10) = 0} \\ \text{x = -6 or 10} \\ x\text{ = 10} \end{gathered}[/tex]Final answer
Base = 10 m
Height = 10 - 4 = 6 m
Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! Discover the answers you need at IDNLearn.com. Thanks for visiting, and come back soon for more valuable insights.
