Question

The area of a triangle is 216cm². One side of the triangle measures 24cm. Find the distance of the corresponding vertex from the side.​

Answer 1

Answer:

area of triangle=216

let

height be x

therefore 1/2*24*x=216

12*x=216

x=18 cm

The distance between the vertex and corresponding side is 18 cm

Answer 2

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$&#10155$ Given that The area of a triangle is 216cm². One side of the triangle measures 24cm.

FORMULA

$&#10155$ The area of a triangle

$&#10236 \: \: \frac{1}{2} \times b \times h$

where,

b = one side of a triangle

h = corresponding vertex from the side

SOLUTIONS

$&#10155$ The area of a triangle is 216cm and side (b) 24 cm.

$&#10236 \: \: \frac{1}{\cancel2} \times \cancel{24} \times h = 216 \\ \\ &#10236 \: \: 12 \times h = 216 \: \: \: \: \: \: \: \: \: \\ \\ &#10236 \: \: h = \frac{\cancel{216}}{\cancel{12}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ &#10236 \: \: h = 18 \: cm \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

• Now we get the distance of the corresponding vertex from the side is 18 cm .