Question

The sides of a triangle are 25cm , 17cm and 12cm . The length of the altitude on the longest side is equal to

Answer 1

Answer:

altitude =under root (17*17-12*&&÷*,*

Step-by-step explanation:

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Answer 2

$\Large{\textbf{\underline{\underline{According\:to\:the\:Question}}}}$

Semi Perimeter

$\tt{\rightarrow s=\dfrac{25+17+12}{2}}$

$\tt{\rightarrow s=\dfrac{42+12}{2}}$

$\tt{\rightarrow s=\dfrac{54}{2}}$

= 27 cm

Hence,

Semi Perimeter = 27 cm

Using Herons Formula :-

$\tt{\rightarrow \sqrt{s(s-a)(s-b)(s-c)}}$

$\tt{\rightarrow \sqrt{27(27-25)(27-17)(27-12)}}$

$\tt{\rightarrow \sqrt{27(2)(1)(15)}}$

= 90 cm²

Assume,

h be Altitude

Area of Triangle

$\tt{\rightarrow \dfrac{1}{2}\times b\times h}}$

$\tt{\rightarrow 90=\dfrac{1}{2}\times 25\times h}}$

$\tt{\rightarrow h=\dfrac{90}{12.5}}}$

h = 7.2 cm