Question

Find the Height of a triangle with base 8 cm and area 10 cm²

Answer 1

Step-by-step explanation:

We Have :-

Triangle with :-

Base 8 cm

Area = 10 cm²

To Find :-

Height

Formula Used :-

$area \: of \: triangle \: = \dfrac{1}{2} \times base \times height$

Solution :-

$area \: = 10 \: cm^{2} \\ \\ \\ area \: = \dfrac{1}{2} \times base \times height \\ \\ \\ let \: height \: be \: h \\ \\ \\ area \: = \dfrac{1}{2} \times base \times h \\ \\ \\ putting \: the \: values \\ \\ \\ 10 = \dfrac{1}{2} \times 8 \times h \\ \\ \\ 10 = 4h \\ \\ \\ h = \dfrac{10}{4} \\ \\ \\ h = 2.5 \: cm$

Height of Triangle is 2.5 cm

Answer 2

$\bf \red{ \underline{ \underline{given}}}$

• Base of a triangle, b=8 cm
• Area of triangle, a=10 cm²

$\bf \red{ \underline{ \underline{to \: find \: out}}}$

Find the height(h) of triangle?

$\bf \red{ \underline{ \underline{formula \: used}}}$

We know that,

$\orange{area \: of \: triangle} = \green{\frac{1}{2} \times b \times h}$

$10 = \frac{1}{2} \times 8 \times h$

$10 = 4h$

$h = \frac{10}{4}$

$\purple{h = 2.5 \: cm}$