# 3. What is the perimeter of VPQR? Show your work. Help

Dec 26, 2017

$17 f t$

#### Explanation:

I expect the question is to find perimeter of $\triangle P Q R$ .
There are two triangles given (PQR , STU) These are congruent by SAS
$P Q = S T$
$Q R = U T$
$\angle P Q R = \angle S T U$
$\triangle P Q R \cong \triangle S T U$ (SAS congruence rule)
using the property CPCT (corresponding parts of congruent triangles)
$3 y - 2 = y + 4$
$3 y - y = + 4 + 2$
$2 y = 6$
$y = 3$;
perimeter of $\triangle P Q R$ $= 6 + 4 + 3 \left(3\right) - 2$
$10 + 9 - 2 = 17 f t$