Question

If 28cm is the base and ac=25cm and ad=15, find the length of ab​?

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Answer 1

$\bf \color{teal}Answer:$

$\huge \bf \color{red}20.51 cm$

$\bf \color{navy}Step-by-step \: explanation:$

$\bf28cm \: is \: the \: base = BC$

$\bf \: AC = 25cm$

$\bf \: AD = 15 cm$

So here, AD is the altitude of the triangle. An altitude makes 90° with the base and may or may not divide it into half.

$\bf \: BD = 14 cm$

$\bf \color{purple}Using \: Pythagoras \: Theorem,$

$\bf \: AB \: square = AD \: square + BD \: square$

$\bf \: AB \: square = 225 + 196$

$\bf AB = \sqrt{(421)}$

$\bf \color{darkgreen}\: AB = 20.51 cm$