Question

1. find the measure of side c of the kite.

Explanation:

Step1: Recall Pythagorean theorem

In a right - angled triangle formed in the kite, if the two legs of the right - angled triangle are \(a = 8\) yd and \(b=15\) yd, and the hypotenuse is \(c\). The Pythagorean theorem is \(a^{2}+b^{2}=c^{2}\).

Step2: Substitute values

Substitute \(a = 8\) and \(b = 15\) into the formula: \(c^{2}=8^{2}+15^{2}=64 + 225=289\).

Step3: Solve for \(c\)

Take the square root of both sides. Since \(c>0\), \(c=\sqrt{289}=17\) yd.

Answer:

17 yd