The sides of a triangle measure and

MATHEMATICS · Single correct · CBSE · Mathematics · Heron's Formula · Heron's Formula

Problem

The sides of a triangle measure

15\,\text{cm},\;16\,\text{cm}

and

17\,\text{cm}

. What is the length of the altitude to the side of length

16\,\text{cm}

? (a)

12\,\text{cm}

(b)

\dfrac{16}{5}\sqrt{21}\,\text{cm}

(c)

3\sqrt{21}\,\text{cm}

(d)

\dfrac{3}{2}\sqrt{21}\,\text{cm}