a right -angled triangle has a hypotenuse 13cm long.one of its sides is 12cm. what iscits height?
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Answered by
27
Hypotenuse2=height2+base2
(13)2=height2+(12)2
169=height2+144
169-144=height2
25=heigjt2
5cm=height
(13)2=height2+(12)2
169=height2+144
169-144=height2
25=heigjt2
5cm=height
Answered by
22
In a right angled triangle, Hypotenuse is the side opposite to the angle measuring 90°
According to Pythagoras theorem,
Hypotenuse ² = base² + height ²
Now, In this case Hypotenuse = 13 cm
Base = 12 CM.
By using the theorem,
13²= 12²+h²
h²=169-144
h²=25
h=√25=5cm .
Therefore, the height of the triangle is 5 cm
According to Pythagoras theorem,
Hypotenuse ² = base² + height ²
Now, In this case Hypotenuse = 13 cm
Base = 12 CM.
By using the theorem,
13²= 12²+h²
h²=169-144
h²=25
h=√25=5cm .
Therefore, the height of the triangle is 5 cm
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