MNT is a triangle in which A point lies on
MN and B lies on MT. join AB.
Now,if NT/AB =9/5 and if MB=10cm , then MN will be ??
To find the length of MN in the given triangle MNT, we can use the concept of similar triangles.
1. Let's start by setting up the given information:
- We know that NT/AB = 9/5.
- We are given that MB = 10 cm.
2. Now, let's assume that the length of AB is 'x' cm. Since NT/AB = 9/5, we can write:
NT/AB = 9/5
NT/x = 9/5
3. Based on the given information, we can see that triangles MNT and MBA are similar. This means the corresponding sides of these triangles are in proportion.
4. Since NT and AB are corresponding sides, we can set up the proportion:
NT/AB = MN/MB
Substituting the known values:
NT/x = MN/10
5. To solve for MN, we need to isolate it on one side of the equation. Rearranging the equation yields:
MN = (NT/AB) * MB
= (9/5) * 10
6. Now, we can calculate the value of MN:
MN = (9/5) * 10
Simplifying the multiplication gives:
MN = 18 cm
Therefore, the length of MN is 18 cm.