Work out the area of the triangle. 13m 12m and 5m​

30m²

Step-by-step explanation:

To find the area of a triangle, you need to ensure that the triangle is a right-angled triangle. We can use the Pythagoras Theorem to help us prove that.

a² + b² = c²

5² + 12² = 169

13² = 169

By converse of Pythagoras Theorem, the triangle is a right-angled triangle.

Thus, you can directly find the area of the triangle using the formula: base × height ÷ 2.

Area = 12 × 5 ÷ 2

        = 30m²

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.