Question

★Maths Question★

proper explanation must be....


An isosceles triangle ABC is similar to triangle PQR AC= AB =4 cm, RQ=10 cm and
BC=6cm. What is the length of PR? Which type of triangle is ∆PQR?​

Answer 1

$\huge {\underline {\underline{\mathfrak{\red{Answer}}}}} :$

Let x be the PQ and y be the PR.

$\sf \: \frac{AB}{ PQ} = \frac{BC }{QR} = \frac{AC }{ PR} \\ \\ \frac{4}{x} = \sf \: \frac{6}{10} = \frac{4}{y} \\ \\ now \: \: x \: \: \\ \\ 40 = 6x \\ \\ x = \frac{40}{6} \\ \\ x = \frac{20}{3} \\ \\ now \: \: y \\ \\ 6y = 40 \\ \\ y = \frac{40}{6} \\ \\ y = \frac{20}{3} \\ \\ \sf \therefore \: length \: \: of \: \: PR \: is \: \: \frac{20}{3} and \: \: \: also \: \: \triangle \: PQR \: \: is \: \: an \: \: isosceles \: \: triangle..$