C-14-Q150mediumsingle_mcq

If triangles $\triangle ABC$ and $\triangle PQR$ have proportional areas and heights, and the height of $\triangle ABC$ is $a$ units, then the height of $\triangle PQR$ is —

a $a$
b $2a$
c $3a$
d $4a$

ব্যাখ্যা

When two triangles have proportional areas and equal/proportional heights, the matching ratio forces the heights to be the same, so the height of $\triangle PQR$ equals $a$ units. Equal heights paired with the given proportionality leave no room for any scaling factor.

এই অধ্যায়ের আরও প্রশ্ন

a

2a

3a

4a

If triangles △ABC\triangle ABC△ABC and △PQR\triangle PQR△PQR have proportional areas and heights, and the height of △ABC\triangle ABC△ABC is aaa units, then the height of △PQR\triangle PQR△PQR is —

ব্যাখ্যা

এই অধ্যায়ের আরও প্রশ্ন

If triangles △ABC\triangle ABC△ABC and △PQR\triangle PQR△PQR have proportional areas and heights, and the height of △ABC\triangle ABC△ABC is aaa units, then the height of △PQR\triangle PQR△PQR is —

ব্যাখ্যা

এই অধ্যায়ের আরও প্রশ্ন

If triangles $\triangle ABC$ and $\triangle PQR$ have proportional areas and heights, and the height of $\triangle ABC$ is $a$ units, then the height of $\triangle PQR$ is —

If triangles $\triangle ABC$ and $\triangle PQR$ have proportional areas and heights, and the height of $\triangle ABC$ is $a$ units, then the height of $\triangle PQR$ is —