The hypotenuse of a right triangle is 45 cm long. If one of the two legs of this triangle is 36 cm, find the other leg.
Answers
Answered by
0
Answer:
Use the Pythagorean theorem:
c
2
=
a
2
+
b
2
,
where:
c
is the hypotenuse, and
a
and
b
are the other two sides (legs).
Let
a
=
9 cm
Rearrange the equation to isolate
b
2
. Plug in the values for
a
and
c
, and solve.
b
2
=
c
2
−
a
2
b
2
=
(
15 cm
)
2
−
(
9 cm
)
2
Simplify.
b
2
=
225 cm
2
−
81
cm
2
b
2
=
144 cm
2
Take the square root of both sides.
b
=
√
144 cm
2
Simplify.
b=12vm
Answered by
3
Let triangle ABC be the given triangle such that angle C = 90°.
Then, hypotenuse AB = 45 cm and BC = 36 cm.
By Phythagoras' theorm :
AB²= BC²+AC²
=>AC² = AB²-BC² = (45²-36²)cm²
=(2025-1296)cm²
= 729cm² = (27cm²)
.°. AC = 27 cm.
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