Home › ICSE Class 9 › mathematics › Pythagoras Theorem › The hypotenuse of a right triangle with legs 6 c…
The hypotenuse of a right triangle with legs 6 cm and 8 cm is
A10 cm
B12 cm
C14 cm
D9 cm
Answer & Solution
Correct answer: A. 10 cm
1. Apply a^2 + b^2 = c^2 with a = 6, b = 8.
2. c^2 = 36 + 64 = 100.
3. c = sqrt(100) = 10.
4. So the hypotenuse is 10 cm.
_Source: Selina Concise Mathematics Class 9, Ch on Pythagoras Theorem (Mistral OCR'd PDF), section on numerical example_
Related questions
In an isosceles right triangle each equal side is 10 cm. The hypotenuse isIf 7, 24 and c are sides of a right triangle with c the hypotenuse, c equalsA wire is bent into a right triangle with legs 5 cm and 12 cm. Total wire isHypotenuse of a right triangle is 17 cm and one leg is 8 cm. Other leg isFind x if sides of a right triangle are 9, x and 15 with 15 the hypotenuse.A rhombus has diagonals 16 cm and 12 cm. The side of the rhombus isTriangle ABC is right-angled at C with BC = 24 cm and AC = 7 cm. AB equalsTwo poles of heights 15 m and 6 m stand 12 m apart. The distance between their tops is