Question

∆MNT ~ ∆QRS. Length of altitude drawn from point T is 5 and length of altitude drawn from point S is 9. Find the ratio A(ΔMNT)/A(ΔQRS)

Answer 1

∆MNT- ∆QRS [Given] 

∴ ∠M ≅ ∠Q (i) [Corresponding angles of similar triangles] 

In ∆MLT and ∆QPS, 

∠M ≅ ∠Q [From (i)] 

∠MLT ≅ ∠QPS [Each angle is of measure 90°]

∴ ∆MLT ~ ∆QPS [AA test of similarity]