3 to 4 ratio

Question

THERE ARE 3 SIMILAR INCH MEASUREMENTS.

 

THE RATIO OF MEASUREMENT A TO MEASUREMENT B IS 5 TO 8 INCHES.

 

THE RATIO OF THE MEASUREMENT B TO C IS 3 TO 4.

 

WHAT IS THE RATIO OF TRIANGLE A TO C? ---- AND WHAT ARE THE CALCULATIONS?

Answer 1

A to B is 5 to 8, B to C is 3 to 4

B=8 and B=3 in the two ratios

make the two B's the same number

8*3=24 and 3*8=24

5/8=?/24 and 3/4= 24/?

?=15 in the first equation and ?=32 in the second equation

5/8 becomes 15/24 and 3/4 becomes 24/32

now we have A to B is 15 to 24, B to C is 24 to 32

A=15, B=24, and C=32

therefore A to C is 15 to 32 or 15/32

Note:If the ratios are segment ratios(base and height), then 15/32 is a ratio of height to height or base to base. Let triangle A have base 30 and height 15, let triangle B have base 48 and height 24, and let triangle C have base 64 and height 32. The ratios of base to base and height to height are 5/8 and 3/4 as stated.

The area of triangle A to triangle C is (0.5*15*30)/(0.5*32*64)=225/1024.