The diagrams show a right angled triangle and a rectangle. Diagrams NOT
accurately drawn
15 cm
17 cm
12 cm
x cm
x cm
8 cm
12 cm
The area of the right-angled triangle is equal to the area of the rectangle.
Find the value of a
(4 marks)

hope it helps you......................

x = 5

Step-by-step explanation:

The area (A) of the triangle is calculated as

A = bh ( b is the base and h the height )

Here b = 8 and h = 15 , then

A = × 8 × 15 = 4 × 15 = 60 cm²

The area of the rectangle is also 60 cm² , then

length × breadth = 60 , that is

12x = 60 ( divide both sides by 12 )

x = 5

∠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.

9 x 8 divided by (5-3)=36