The length of the base and the height of a triangle are numerically equal. their sum is 30 less than the number of units in the area of the triangle. find the area of the triangle.

50 sq. units

Step-by-step explanation:

The length of the base and the height of a triangle are numerically equal.

Let us assume that, the length and height as x.

So the area of the triangle will be,

As their sum is 30 less than the number of units in the area of the triangle, so

Neglecting negative roots,

Hence, the base and height of the triangle is 10 units, so the area will be,

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.