A right isosceles triangle has side lengths of 13.2, 13.2, and 18.6 meters. What is the hypotenuse of a similar triangle with legs 4.4 meters in length?(1 point)
meters
GIVE A 100 PERCENT RIGHT AWNSER
To find the hypotenuse of a similar triangle, you can use the proportion of corresponding side lengths.
In this case, the ratio of the lengths of the corresponding sides in the two triangles would be:
\( \frac{{\text{{Hypotenuse of large triangle}}}}{{\text{{Hypotenuse of small triangle}}}} = \frac{{\text{{Leg of large triangle}}}}{{\text{{Leg of small triangle}}}} \)
Substituting the known values:
\( \frac{18.6}{\text{{Hypotenuse of small triangle}}} = \frac{13.2}{4.4} \)
Cross-multiplying:
\( 13.2 \times \text{{Hypotenuse of small triangle}} = 18.6 \times 4.4 \)
\( \text{{Hypotenuse of small triangle}} = \frac{{18.6 \times 4.4}}{{13.2}} \)
\( \text{{Hypotenuse of small triangle}} = 6.2 \)
Therefore, the hypotenuse of the similar triangle with legs 4.4 meters in length is 6.2 meters.