Triangle ABC is similar to triangle APQ with angle CBA equal to angle QPA and angle A common to both triangles. the length of sides AB, AP and PQ are 90cm,60cm and 30 cm. calculate the length of the side BC
ab/ap = 90/60 = 3/2
so
bc/pq = 3/2
but pq = 30
so
bc = 30 (3/2) = 45
cheers Damon
To find the length of side BC, we can use the property of similar triangles. In similar triangles, the ratios of corresponding sides are equal.
Let's denote the length of side BC as x.
Since triangle ABC is similar to triangle APQ, we can set up the following proportion:
AB/AP = BC/PQ
Plugging in the given values, we have:
90cm / 60cm = x / 30cm
Now, we can solve for x by cross-multiplying:
90cm * 30cm = 60cm * x
2700cm² = 60cm * x
Divide both sides of the equation by 60cm:
2700cm² / 60cm = x
45cm = x
Therefore, the length of side BC is 45cm.