what is the perimeter? if necessary, round to the nearest tenth. millimeters
what is the perimeter? if necessary, round to the nearest tenth. millimeters
Answer
Explanation:
Step1: Find the base length using Pythagorean theorem
Let the base be $b$. According to the Pythagorean theorem $a^{2}+b^{2}=c^{2}$, where $c = 8$ mm and $a = 7$ mm. So $b=\sqrt{c^{2}-a^{2}}=\sqrt{8^{2}-7^{2}}=\sqrt{64 - 49}=\sqrt{15}\approx3.9$ mm.
Step2: Calculate the perimeter
The perimeter $P$ of a triangle is the sum of the lengths of its sides. So $P=7 + 8+\sqrt{15}\approx7 + 8+3.9 = 18.9$ mm.
Answer:
$18.9$