Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

11/7 - isosceles and equilateral practice possible pc jh =

Question

11/7 - isosceles and equilateral practice
possible pc
jh =

Explanation:

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 \(10t\): \(JH=10\times5 = 50\).

Answer:

\(50\)