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sladkih [1.3K]
3 years ago
10

The area of the square adjacent to two sides of a right triangle are 29.25 square units and 13 units 30 POINTS

Mathematics
1 answer:
Otrada [13]3 years ago
6 0

Answer:

x=6.5\ units

Step-by-step explanation:

step 1

Find the length side of the smaller square

The area of the square is equal to

A=a^{2}

so

a^{2}=13

a=\sqrt{13}\ units

step 2

Find the length side of the larger square

The area of the square is equal to

A=b^{2}

so

b^{2}=29.25

b=\sqrt{29.25}\ units

step 3

Find the value of x

Applying the Pythagoras Theorem

x^{2} =a^{2}+b^{2}

substitute the values

x^{2} =13+29.25

x^{2} =42.25

x=6.5\ units

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