Question

the area of a triangular garden is 9520 m². If its base is 340 m, find the altitude​

Answer 1

area of triangular garden=1/2 × base ×altitude

9520= 1/2×340×altitude

9520=170×altitude

altitude=9520/170

=56

please follow me

Answer 2

Given:

• The area of a triangular garden → 9520m².
• Base of the garden → 340m.

⠀

To find:

• Find the altitude of the garden.

⠀

Solution:

Before we go further,

Note : Height, altitude, elevation means vertical distance either between the top and bottom of something or between a base and something above it.

Now, we consider the altitude ( height ) of the triangle be " h " metre.

Simply using the formula for area of triangle.

⠀

⠀${Area = \dfrac{1}{2} \times base \times height}$

⠀

$\large{\boxed{\bold{Area \:=\:9520}}}$

$\large{\boxed{\bold{Base \:=\:340}}}$

★ Substituting the values in the formula, we get

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {Area = \dfrac{1}{2} \times 340 \times height}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {9520 = 170 \times h}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {170h = 9520}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {h = \dfrac{9520}{170}}$

⠀

$\bf:\implies\: \: \: \: \: \: \: \: {h = 56}$

⠀

Thus,

The height of the triangular garden → 56m.