Quiz – Pythagoras Theorem (Example)

Test your understanding of how to use the Pythagorean Theorem to find missing sides in right triangles.

$a^2 + b^2 = c^2$

Try to answer the questions before checking the answers at the bottom of the page.

Question 1

Find the hypotenuse $c$ when $a=3$ and $b=4$.

a) $5$
b) $6$
c) $7$

Question 2

Find the hypotenuse $c$ when $a=8$ and $b=15$.

a) $16$
b) $17$
c) $18$

Question 3

In a right triangle, the hypotenuse $c=10$ and one side is $b=8$.
Find the side $ $a$ $.

a) $4$
b) $6$
c) $8$

Question 4

In a right triangle, the hypotenuse is $c=13$ and one side is $a=12$.
Find the side $b$.

a) $3$
b) $4$
c) $5$

Question 5

Find the hypotenuse $c$ when $a=1$ and $b=2$.

a) $\sqrt{3}$
b) $\sqrt{5}$
c) $\sqrt{6}$

Question 6

Find the hypotenuse $c$ when:

$a=7,\qquad b=24$

a) $23$
b) $24$
c) $25$

Question 7

In a right triangle, the hypotenuse is $c=17$ and one side is $b=15$.

Find the side $a$.

a) $7$
b) $8$
c) $9$

Question 8

Find the hypotenuse $c$ when:

$a=4,\qquad b=5$

a) $\sqrt{21}$
b) $\sqrt{41}$
c) $9$

Question 9

Which equation should be used to find $b$ when:

$a=9,\qquad c=15$

a) $9^2+15^2=b^2$
b) $9^2+b^2=15^2$
c) $15^2+b^2=9^2$

Question 10

Find the approximate value of the hypotenuse $c$ when:

$a=2,\qquad b=5$

a) $4.58$
b) $5.39$
c) $7.00$

Answers

a) $5$
b) $17$
b) $6$
c) $5$
b) $\sqrt{5}$
c) $25$
b) $8$
b) $\sqrt{41}$
b) $9^2+b^2=15^2$
b) $5.39$

Mulkek