Answer:
Height of the greater triangle is 7.5 cm (Approximately).
Step-by-step explanation:
Given that
The ratio of two triangles with common base = 4:5
Let they be 4x cm² and 5x cm²
The area of the bigger triangle = 5x cm²
The area of the smaller triangle = 4x cm²
also,
Given that
The base of two triangles are same
Let the base of the two triangles be b cm
Height of the smaller triangle = 6 cm
Now,
Area of the triangle = (1/2)×base×height sq.units
⇛Area of the smaller triangle
⇛(1/2)×b×6 = 4
⇛6b/2 = 4
⇛3×b = 4
⇛b= 4/3 cm
.°. b = 4/3 cm
Now,
The length of the base = 4/3 cm
Area of the greater triangle = 5 cm²
⇛(1/2)×(4/3)×h = 5
⇛(4/6)×h = 5
⇛(2/3)×h = 5
⇛h = 5/(2/3)
= 5×3/2
= 15/2
⇛h = 7.5 cm (Approximately)
Answer: Therefore, Height of the greater triangle is 7.5 cm.
Please let me know if you have any other questions.
