#### Two isosceles triangles have equal vertical angles and their areas are in the ratio 7: 16. Find the ratio of their corresponding height.

**Solution:**

#### On a map is drawn to a scale of 1 : 250000, a triangular plot of land has the following measurements :

AB = 3 cm, BC = 4 cm and ∠ABC = 90°. Calculate

(i) the actual length of AB in km.

(ii) the area of the plot in sq. km:

**Solution:**

**More Solutions:**

- In triangles ABC and DEF, ∠B = ∠E, ∠F = ∠C and AB = 3DE.
- The given figure, AB || DE. The length of CD is
- If ∆PQR ~ ∆ABC, PQ = 6 cm, AB = 8 cm and perimeter of ∆ABC is 36 cm.
- PQ || CA and all lengths are given in centimeters.
- The points on the sides AB and AC of a ∆ABC.
- If the areas of two similar triangles are in the ratio 4 : 9