using the Pythagoras theorem find the hypotensue of a right angeld triangle who sides 48cmand 55cm
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Let the triangle have vertices A, B and C( Diagram in attachment )
C
/ ।
/ ।
/_ । A
B
AB = 48cm
CB = 50cm
Since the triangle is a right angled triangle , the side AC can be found by using the PYTHAGORAS THEOREM
So,
(AB)² + (AC)² = (CB)²
(48)² + (AC)² = (50)²
(AC)² = (50)² - (48)²
(AC)² = 2500 - 2304
(AC)² = 196
ac = \sqrt{196}ac=
196
AC = 14cm
since it is a right angled triangle ,in which AC is perpendicular to the base , it will be the height
So,
Base = 48cm
Height = 14cm
Area of triangle = ½ × base × height
= \frac{1}{2} \times 48 \times 14=
2
1
×48×14
= 336cm²
So,
the area of triangle is 336cm²
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