contestada

In the diagram triangles ABE and ACD are similar.
BE is parallel to CD.
AB = 5 cm, BC = 4 cm, BE = 4 cm, AE = 8 cm, CD = p cm and DE = q cm. Work out the values of p and q

In the diagram triangles ABE and ACD are similar BE is parallel to CD AB 5 cm BC 4 cm BE 4 cm AE 8 cm CD p cm and DE q cm Work out the values of p and q class=

Respuesta :

KurdishPotato

Answer:

p = 7.2

q = 6.4

Step-by-step explanation:

if the triangles are similar then the side lengths must be proportional :

AC/BA = CD/BE

9/5 = p/4 cross multiply expressions

5p = 36 divide both sides by 5

p = 7.2

same goes for q

9/5 = (q+8)/8 cross multiply expressions

72 = 5(q+8) divide both sides by 5

14.4 = q+8 subtract 8 from both sides

6.4 = q

Otras preguntas