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)

Question

meters
GIVE A 100 PERCENT RIGHT AWNSER

Answer 1

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.