Question

Find the height of the triangle whose base is 8cm and area is 24 sq cm.
2 points
3 cm
96 cm
12 cm
6 cm
​

Answer 1

Answer:

area of triangle = 1/2 x base x height

24 = 1/2 x 8 x h

24/4 = h

h = 6cm

Answer 2

Given : Base and area of a triangle are 8cm and 24cm² respectively.

To Find : Base of the triangle.

⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀____________________

For finding area of the triangle , formula is given as -

$\:$

$\star \: \underline{\boxed{\sf\purple{Area \: of \: a \: triangle = \frac{1}{2} \times b \times h}}}$

$\:$

Where b denotes base of the triangle and h denotes height of the triangle.

Here

$\:$

• Base of the triangle = 8cm
• Area of the triangle = 24cm²

$\:$

$\underline{\mathfrak{substituting \: the \: values}}$

$\:$

$\sf:\implies \: Area_ {(triangle)} = \dfrac{1}{2} \times b \times h \\ \\ \\ \sf:\implies \: 24 = \frac{1}{2} \times 8 \times h \\ \\ \\ \sf:\implies \: h = \frac{\cancel24 \times 2}{\cancel{8}} \\ \\ \\ \sf:\implies \: h = \underline{\boxed{\mathfrak\purple{6cm}}}\bigstar \\ \\ \\ \\ \sf\therefore{\underline{Hence, \: the \: height \: of \: the \: triangle \: is \:\bold{6cm}. }}$