Answer:
Area of the figure=
Step-by-step explanation:
Area of the figure=Area of the middle rectangle+ Area the the two triangles
Area of the rectangle=Length*Width
Area of the triangle with the height of 2 feet and base= 3 feet
Area=
=
Area of the triangle with the Height=3 feet and Base= 3 feet
Area=
Total Area of the figure
Answer:
Length of side of rhombus is
Step-by-step explanation:
Given Rhombus ADEF is inscribed into a triangle ABC so that they share angle A and the vertex E lies on the side BC. We have to find the length of side of rhombus.
It is also given that AB=a and AC=b
Let side of rhombus is x.
In ΔCEF and ΔCBA
∠CEF=∠CBA (∵Corresponding angles)
∠CFE=∠CAB (∵Corresponding angles)
By AA similarity rule, ΔCEF~ΔCBA
∴ their sides are in proportion
⇒
⇒
⇒
⇒
Hence, length of side of rhombus is
