Answer:
6cm
Step-by-step explanation:
Answer:
Step-by-step explanation:
ΔPQS, ΔRQP and ΔRPS are similar (AA). Therefore the sides are in proportion:
We have:
Substitute:
<em>cross multiply</em>
Use the Pythagorean theorem:
Substitute:
Answer:
As the largest side is
15
yards and smaller sides are
9
yards and
12
yards
from Pythagoras theorem, if the triangle is right angled square of largest side should be equal to sum of the squares of smaller two sides.
Square of largest side is
15
2
=
225
and squares of smaller two sides are
9
2
=
81
and
12
2
=
144
.
As
225
=
81
+
144
, the triangle is right angled.
Step-by-step explanation:
Add 4y to both sides of the equation:
x=4y-22
Now replace x in the equation:
(4y-22)-4y=-22
Distribute the negative sign:
-4y+22-4y=-22
Add common terms:
-8y+22=-22
Add 8y to both sides of the equation:
8y-22=22
Add 22 to both sides of the equation:
8y=44
Divide both sides by 8:
y=5.5
