Question

*If the longest side in a right triangle ABC is 13 cm and one side making a right angle is 5 cm ,what is the length of the other side making a right angle?* 1️⃣ 9 cm 2️⃣ 12 cm 3️⃣ 8 cm 4️⃣ 10 cm​

Answer 1

Step-by-step explanation:

perpendicular= 13

hypotunese = 5

base = ?

let base be y

applying pythagoras therom

perpendicular square + base square = hypotunese square

5^2+y^2=13^2

25+y^2=169

y^2=169-25

y^2 = 144

y = 12

option b is correct

Answer 2

CONCEPT

Triangles

GIVEN

Longest side in a right triangle ABC is 13 cm and one side making a right angle is 5 cm

FIND

Length of the other side making a right angle.

SOLUTION

• According to the Pythagoras Theorem for Right angled triangles , The square of largest size is sum of square of remaining two sides.

• Let the largest side be 'a' and the remaining sides be 'b' and 'c' , then a^2 = b^2 + c^2.

Since a=15,b=5 then c^2=a^2-b^2 , c^2=15x15-5x5

c^2=125-25

c^2=100

c=10 cm

The length of the other side making a right angle is 10cm.

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