Home
Class 8
MATHS
In a right triangle ABC, angle B=90^(@) ...

In a right triangle `ABC`, `angle B=90^(@)`
(a) If `AB=6cm,BC=8cm,` find `AC`
(b) If `AC=13cm,BC=5cm,` find `AB.`

Text Solution

Verified by Experts

(i)According to Pythagoras Theorem
`=>(AC)^2 = (AB)^2 + (BC)^2`
`=>(AC)^2 = 6^2 + 8^2`
`=>(AC)^2 = 100`
`=>AC = √100`
Hence, `AC = 10 cm.`
(ii)According to Pythagoras Theorem
`=>(AC)^2 = (AB)^2 + (BC)^2`
...
Promotional Banner

Topper's Solved these Questions

  • SQUARES AND SQUARE ROOTS

    NCERT ENGLISH|Exercise EXERCISE 6.1|9 Videos

  • RATIONAL NUMBERS

    NCERT ENGLISH|Exercise EXERCISE 1.1|11 Videos

  • UNDERSTANDING QUADRILATERALS

    NCERT ENGLISH|Exercise EXERCISE 3.3|11 Videos

Similar Questions

Explore conceptually related problems

In right triangle, ABC, AB=10,BC=8,AC=6.

In triangle ABC , angle B = 90 ^(@) , AB = 40 , AC + BC = 80 , Find : sin A

In triangle ABC , angle B = 90 ^(@) , AB = 40 , AC + BC = 80 , Find : cos A

In triangle ABC , angle B = 90 ^(@) , AB = 40 , AC + BC = 80 , Find : tan C .

Construct a right triangle ABC in which angle B = 90^(@), BC = 3.6 cm and CA = 5.4 cm,

ABC is a triangle right angled at C. If AB=25cm and AC=7cm, find BC.

In triangle ABC, angleB = 90^@ and tan A = 0.75 If AC = 30 cm, find the lengths of AB and BC.

Construct a right-angled triangle ABC in which angleA = 90^(@) , BC = 6 cm and AB = 4.8 cm.

In triangle ABC, AB = AC = 15 cm and BC = 18 cm, find cos angleABC

The following figures shows a right - angled triangle ABC with angle B = 90 ^(@) , AB = 15 cm and AC = 25 cm. D is a point in side BC and CD = 7 cm. if De bot AC, find the length of DE.