Home › UP Board Class 10 › Mathematics › In the lamp-post and shadow setup of Fig. 6.32, …
In the lamp-post and shadow setup of Fig. 6.32, why are $\triangle ABE$ and $\triangle CDE$ similar? 
ATheir three sides are proportional
BOne angle is common and another pair are right angles
CThey are congruent by RHS
DTheir corresponding medians are equal
Answer & Solution
Correct answer: B. One angle is common and another pair are right angles
In $\triangle ABE$ and $\triangle CDE$, $\angle B=\angle D=90^\circ$ because both the lamp-post and the girl are vertical to the ground. Also, $\angle E$ is common. Therefore, the triangles are similar by the AA criterion.
Related questions
When variables and numbers appear on both sides, you must simplify:Equations needing more than one operation are described as taking more:Once a solution is found, it should be checked by substituting it back to get a statement The product of any number and its reciprocal equals:A fraction multiplying the variable is best removed by multiplying by its:Solving x divided by 4 equals 3 gives x equal to:Solving 4x equals 20 gives x equal to:Solving x minus 8 equals 5 gives x equal to: