Question

5. Find the altitude of the triangle if its area is 25 ares and base is 20 m.
​

Answer 1

Answer:

answer is 250 m of the altitude of the triangle

Answer 2

$\bf \: \underline{Given} \: :$ ↴

$\sf \: Area \: of \: the \: triangle = 25 \: ares$

$\sf \: Base \: of \: the \: triangle = 20 \: m$

$\bf \: \underline{To \: find} :$ ↴

$\sf \: We \: have \: to \: find \: the \: altitude \: of \: the \: triangle.$

$\orange{ \star} \: \bf \: \underline{So, \: Let's \: Start} \: \orange{\star}$

$\sf \: As \: we \: know \: that :$

$\sf \red{\bull }\: \longrightarrow \: 1 \: are \: = \: 100 \: m^{2}$

$\sf \: So, \: 25 \: ares \: = 25 × 100 = 2500 \: m^{2}$

$\sf \: \underline{So, \: Area \: of \: the \: given \: triangle = 2500 \: m \: ^{2} }$

$\small \sf \: By \: using \: the \: Formula \: of \: Area \: of \: \triangle, \: we \: will \: find \: the \: Height.$

$\boxed{ \pink{\sf \: Area \: of \: Triangle = \: \dfrac{ 1}{2} \: \times \: Base \times Height}}$

$\sf \: \underline{Putting \: the \: values}$

$\longrightarrow \: \sf \: 2500 = \: \dfrac{ 1}{2} \: \times \: 20 \times Height$

$\longrightarrow \: \sf \: 2500 = \: \dfrac{ 1}{1} \: \times \: 10 \times Height$

$\longrightarrow \: \sf \: 2500 = \: 10 \times Height$

$\longrightarrow \: \sf \: Height = \dfrac{2500}{10}$

$\longrightarrow \: \sf \: Height = \dfrac{250}{1}$

$\underline{ \boxed{ \pink{\sf \: So, \: Height = 250 \: meter}}}$