diff --git a/modules/core/src/matrix.cpp b/modules/core/src/matrix.cpp
index 7f1dfe690..d52c2a709 100644
--- a/modules/core/src/matrix.cpp
+++ b/modules/core/src/matrix.cpp
@@ -5211,7 +5211,7 @@ RotatedRect::RotatedRect(const Point2f& _point1, const Point2f& _point2, const P
     vecs[0] = Vec2f(_point1 - _point2);
     vecs[1] = Vec2f(_point2 - _point3);
     // check that given sides are perpendicular
-    CV_Assert( abs(vecs[0].dot(vecs[1])) <= 0.001 );
+    CV_Assert( abs(vecs[0].dot(vecs[1])) <= FLT_EPSILON );
 
     // wd_i stores which vector (0,1) or (1,2) will make the width
     // One of them will definitely have slope within -1 to 1
diff --git a/modules/core/test/test_io.cpp b/modules/core/test/test_io.cpp
index 71c739154..23c0aad62 100644
--- a/modules/core/test/test_io.cpp
+++ b/modules/core/test/test_io.cpp
@@ -403,7 +403,6 @@ protected:
             Size s1(6, 7), os1;
             Complex<int> c1(9, 10), oc1;
             Rect r1(11, 12, 13, 14), or1;
-            RotatedRect rr1(Point2f(0,0), Point2f(100,100), Point2f(50, 150));
             Vec<int, 5> v1(15, 16, 17, 18, 19), ov1;
             Scalar sc1(20.0, 21.1, 22.2, 23.3), osc1;
             Range g1(7, 8), og1;
diff --git a/modules/core/test/test_rotatedrect.cpp b/modules/core/test/test_rotatedrect.cpp
new file mode 100644
index 000000000..a163f30d1
--- /dev/null
+++ b/modules/core/test/test_rotatedrect.cpp
@@ -0,0 +1,107 @@
+/*M///////////////////////////////////////////////////////////////////////////////////////
+//
+//  IMPORTANT: READ BEFORE DOWNLOADING, COPYING, INSTALLING OR USING.
+//
+//  By downloading, copying, installing or using the software you agree to this license.
+//  If you do not agree to this license, do not download, install,
+//  copy or use the software.
+//
+//
+//                        Intel License Agreement
+//                For Open Source Computer Vision Library
+//
+// Copyright (C) 2000, Intel Corporation, all rights reserved.
+// Third party copyrights are property of their respective owners.
+//
+// Redistribution and use in source and binary forms, with or without modification,
+// are permitted provided that the following conditions are met:
+//
+//   * Redistribution's of source code must retain the above copyright notice,
+//     this list of conditions and the following disclaimer.
+//
+//   * Redistribution's in binary form must reproduce the above copyright notice,
+//     this list of conditions and the following disclaimer in the documentation
+//     and/or other materials provided with the distribution.
+//
+//   * The name of Intel Corporation may not be used to endorse or promote products
+//     derived from this software without specific prior written permission.
+//
+// This software is provided by the copyright holders and contributors "as is" and
+// any express or implied warranties, including, but not limited to, the implied
+// warranties of merchantability and fitness for a particular purpose are disclaimed.
+// In no event shall the Intel Corporation or contributors be liable for any direct,
+// indirect, incidental, special, exemplary, or consequential damages
+// (including, but not limited to, procurement of substitute goods or services;
+// loss of use, data, or profits; or business interruption) however caused
+// and on any theory of liability, whether in contract, strict liability,
+// or tort (including negligence or otherwise) arising in any way out of
+// the use of this software, even if advised of the possibility of such damage.
+//
+//M*/
+
+#include "test_precomp.hpp"
+
+using namespace cv;
+using namespace std;
+
+class Core_RotatedRectConstructorTest : public cvtest::BaseTest
+{
+public:
+    Core_RotatedRectConstructorTest();
+protected:
+    int prepare_test_case( int );
+    void run_func();
+    int validate_test_results( int );
+    const static int MAX_COORD_VAL = 1000;
+    Point2f a, b, c;
+    RotatedRect rec;
+};
+
+Core_RotatedRectConstructorTest::Core_RotatedRectConstructorTest()
+{
+    test_case_count = 100;
+}
+
+int Core_RotatedRectConstructorTest::prepare_test_case( int test_case_idx )
+{
+    cvtest::BaseTest::prepare_test_case( test_case_idx );
+    RNG& rng = ts->get_rng();
+    a = Point2f( (float) (cvtest::randInt(rng) % MAX_COORD_VAL), (float) (cvtest::randInt(rng) % MAX_COORD_VAL) );
+    b = Point2f( (float) (cvtest::randInt(rng) % MAX_COORD_VAL) , (float) (cvtest::randInt(rng) % MAX_COORD_VAL) );
+    // to ensure a != b
+    while( norm(a - b) == 0 ) {
+        b = Point2f( (float) (cvtest::randInt(rng) % MAX_COORD_VAL) , (float) (cvtest::randInt(rng) % MAX_COORD_VAL) );
+    }
+    Vec2f along(a - b);
+    Vec2f perp = Vec2f(-along[1], along[0]);
+    float d = (float) (cvtest::randInt(rng) % MAX_COORD_VAL) + 1.0f;  // c can't be same as b, so d must be > 0
+    c = Point2f( b.x + d * perp[0], b.y + d * perp[1] );
+    return 1;
+}
+
+void Core_RotatedRectConstructorTest::run_func()
+{
+    rec = RotatedRect(a, b, c);
+}
+
+int Core_RotatedRectConstructorTest::validate_test_results( int )
+{
+    int code = cvtest::TS::OK;
+    Point2f vertices[4];
+    rec.points(vertices);
+
+    int count_match = 0;
+    for( int i = 0; i < 4; i++ )
+    {
+        if( norm(vertices[i] - a) <= 0.1 ) count_match++;
+        else if( norm(vertices[i] - b) <= 0.1 ) count_match++;
+        else if( norm(vertices[i] - c) <= 0.1 ) count_match++;
+    }
+    if( count_match == 3 )
+        return code;
+    ts->printf( cvtest::TS::LOG, "RotatedRect end points don't match those supplied in constructor");
+    ts->set_failed_test_info( cvtest::TS::FAIL_INVALID_OUTPUT );
+    return code;
+}
+
+TEST(Core_RotatedRect, three_point_constructor) { Core_RotatedRectConstructorTest test; test.safe_run(); }