Question

If the figure, WXYZ is a rhombus in which XW is produced to the point P. If WY=10 and XZ =9 cm , find the area of PYZ.

Answer 1

To find the area of triangle PYZ, we first need to determine the length of side YZ.

• Since WXYZ is a rhombus, opposite sides are equal in length. Therefore, YZ is equal to WX.
• Given that WX = XZ = 9 cm, we know that YZ is also 9 cm.
• Now we can calculate the area of triangle PYZ using the formula for the area of a triangle:
• Area = (base * height) / 2
• In this case, the base is YZ, which is 9 cm, and the height is WY, which is given as 10 cm.
• Substituting the values into the formula, we have:
• Area = (9 * 10) / 2
• Area = 90 / 2
• Area = 45 square cm
• Therefore, the area of triangle PYZ is 45 square cm.

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