Answer:
Step-by-step explanation:
Let the Base of the △ be x
Then the Height will be 2 x + 4
Area of △ = 1 2 b h
Where, b = b a s e , h = h e i g h t , A r e a = 35
(in this case)
Substitute the values into the equation → 35 = 1 2 ( 2 x + 4 ) ( x ) → 35 = ( 2 x + 4 ) 2 ( x ) →
35 = ( x + 2 ) ( x ) → 35 = x 2 + 2 x
Subtract 35 both sides
→ 0 = x ^2 + 2 x − 35
Rewrite the equation in the Standard form
x ^2 + 2 x − 35 = 0
Factor the equation
→ ( x + 7 ) ( x − 5 ) = 0
So we have
x = − 7 , 5
numbers So x = 5
They have asked us to find the Height
So, ⇒ H e i g h t = 2 x + 4 = 2
