Question

Geometry: TX > Chapter 7: Properties of Special Parallelograms > Section Exercises 7.4 > Exercise 25
Find the lengths of the diagonals of rectangle WXYZ
WY = 6x - 7
XZ = 3x + 2
The length of each diagonal is units

Answer 1

Answer:

√(45x²-72x+53)

Step-by-step explanation:

When you insert diagonals, two rightangled triangles are formed.

To find the length of the diagonals, we put the rectangles into pythagorus's theorem:

a²=b²+c²

a²=(6x-7)²+(3x+2)²

a²=36x²-84x+49 + 9x²+12x+4

a²=45x²-72x+53

a=√(45x²-72x+53)