Question

1 find the length of the hypotenuse of each right triangle:
a.

9 cm

7 cm
b.

5 cm

11 cm
c.

4 cm

8 cm
d.

15 cm

8 cm

Explanation:

Step1: Apply Pythagorean theorem

For right triangles, $c = \sqrt{a^2 + b^2}$

Step2: Calculate A

$c = \sqrt{9^2 + 7^2} = \sqrt{81 + 49} = \sqrt{130} \approx 11.40$

Step3: Calculate B

$c = \sqrt{5^2 + 11^2} = \sqrt{25 + 121} = \sqrt{146} \approx 12.08$

Step4: Calculate C

$c = \sqrt{4^2 + 8^2} = \sqrt{16 + 64} = \sqrt{80} \approx 8.94$

Step5: Calculate D

$c = \sqrt{15^2 + 8^2} = \sqrt{225 + 64} = \sqrt{289} = 17$

Answer:

A. 11.40 cm
B. 12.08 cm
C. 8.94 cm
D. 17.00 cm