Quadrilateral HELP with HE = 6cm, EL=4.5 cm, ZH=60°, ZE=105º and ZP=120°.
Answers
Answer:
GIVEN : In Quadrilateral HELP,
HE = 6cm
EL = 4.5 cm
∠H=60o
∠E =105o
∠P= 120o
PROCEDURE :
Step 1: draw a rough sketch of the Quadrilateral HELP and mark the given measurements.
As we can see that ∠P is not between the given 2 sides , so we now find the ∠L that is between HE and EL using the property of sum of all angles of a quadrilateral ie. ∠L = 360° - (∠H + ∠E + ∠P) = 360° - (60° + 105° + 120°) = 75°.
∴ ∠L = 75°.
Step 2: construct ΔHEL using SAS property of construction model with HE = 6cm , ∠E = 105o and EL = 4.5 cm.
Step 3 : Construct ∠H = 60° and draw HY .
( how to draw 60° angle ?
⇒ an arc is drawn from H . let it intersect HE at H’ . with center H’ and with same radius draw 2 arcs to cut at 2 points A,B which gives 60° and 120° respectively.
So , draw a line from H which passes through A to get the required angle. )
Step 4 : construct ∠L = 75o and draw LZ to meet HY at P.
HELP is the required quadrilateral
Step-by-step explanation:
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