QUESTION IMAGE
Question
11/7 - isosceles and equilateral practice
possible pc
jh =
Step1: Identify the triangle type
Since all three angles of the triangle are equal (marked with red arcs), it is an equilateral triangle. In an equilateral triangle, all sides are equal. So, \(10t=7t + 15\).
Step2: Solve the equation for \(t\)
Subtract \(7t\) from both sides of the equation \(10t=7t + 15\).
\(10t-7t=7t + 15-7t\)
\(3t=15\)
Divide both sides by 3: \(t=\frac{15}{3}=5\).
Step3: Find the length of \(JH\)
Substitute \(t = 5\) into the expression for \(JH\) (either \(10t\) or \(7t + 15\)). Using \(10t\): \(JH=10\times5 = 50\).
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\(50\)