the base and height of a triangle are in the ratio 4:5. If the area is 640 cm². Find the base and height
Answers
Answer:
The base and height of a triangle are in the ratio 4:5. If the area is 640 cm², then the base is 32 cm and the height is 40 cm.
Step-by-step explanation:
The base and height of a triangle are in the ratio 4:5.
If the common multiple is x, then the base is 4x and the height is 5x.
Area of triangle = 640 cm²
Formula: Area of triangle = 1/2 × base × height
1/2 × base × height = 640
1/2 × 4x × 5x = 640
2x × 5x = 640
10x ² = 640
x ² = 64
x = 8
So, base = 4x = 32 cm
Ans height = 5x = 40 cm
Answer:
the base and height of the triangle will be 32 cm and 40 cm respectively
Step-by-step explanation:
Here the base and height of the triangle are in the ratio 4:5
Let the base and height be 4x and 5x respectively
Also, the area of the triangle is given to be 640 cm²
area of triangle = (1/2) × base × height
640 = (1/2) × 4x × 5x
1280 = 20x²
x² = 1280/20
x² = 64
x = 8
base = 4x
= 4 × 8
= 32 cm
height = 5x
= 5 × 8
= 40 cm