Question

3) ARHP ~ ANED. IN ANED, NE = 7cm, D = 30°, ZN = 20° and HP:ED=4:5 construct ️RHP and ️NED ​

Answer 1

Answer: The sides of △RHP will be  

4

5

​

 times the sides of △NED

∴RH=  

4

5

​

×NE=  

4

5

​

×7=8.75 cm

∠H=∠E=30  

∘

 

∠R=∠N=20  

∘

 

Construction:

Step 1: Draw base RH=8.75 cm with a ruler.

Step 2: Draw a line at an angle of 30  

∘

 from point H.

Step 3: Draw a line at an angle of 20  

∘

 from point R.

Step 4: Mark the intersection point of the lines in steps 2 and 3 as point P and draw lines joining P−R and P−H.

△RHP is the required triangle.