Question

In the figure YZ = 12cm, YP=7cm. Area of △XYZ is 60cm2. Find the area of △XYP
and △XPZ.

Answer 1

Answer:

area of triangle XYP is 35cm2 and area of triangle XPZ is 25cm2

Step-by-step explanation:

wkt , area of triangle XYZ = 1/2 *base* height

60. = 1/2 * 12 * height

height = (60*2) / 12 = 10cm

Now we know height XP = 10cm and YP = 7cm

area of triangle XYP = 1/2* base * height

= 1/2*YP*XP

= 1/2*7*10 = 35cm2

area of triangle XPZ = 1/2* base * height

= 1/2*PZ*XP

= 1/2* 5*10 = 25cm2

( because height is same for both the triangles and YZ= YP+ PZ )