Hello!
To solve these problems we will use the Pythagorean Theorem( a²+b²=c², where a and b are the legs and c is the hypotenuse). Let's start!
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Q. 7
5²+12²=c²
25+144=169
√169=13
The length of the hypotenuse is 13.
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Q. 8
We already know the length of the hypotenuse, so we will have to solve for a by subtracting.
10²-8²=a²
100-64=36
√36=6
The length of the missing leg is 6.
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Q. 9
To test whether or not this is a right triangle, we have to make sure the squares of the legs is equal to the square of the hypotenuse. The hypotenuse is ALWAYS the longest side of a triangle, so in our case, the hypotenuse is eight. Let's check the squares.
16+49=65
16+49≠64
Therefore, this is NOT a right triangle.
I hope this helps!
