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Step-4

Title: Triangles

Grade: 8-a Lesson: S4-L1

Explanation: Let us verify the answer here with the steps.

Description:

Step	Type	Explanation	Answer
1	Problem	Find x, so that the triangle shown in the image is a right angled triangle.
2	Hint	Formula used	\$("hypotenuse")^2 = ("side")^2 + ("side")^2\$
3	Step	From the image	Hypotenuse = 17, opposite side = 8x, adjacent side = 15x
4	Step	Use Pythagora’s theorem,	\$(17)^2 = (8x)^2 + (15x)^2\$ ⇒ \$289 = 64x^2 + 225x^2\$
5	Step	On Cancellation	\$\cancel(289)^1 = \cancel(289)^1 \times x^2\$ ⇒ \$x^2 = 1\$ ⇒ \$x = 1\$
6	Step	Hence, the value of x is	1

Step

Type

Explanation

Answer

Problem

Find x, so that the triangle shown in the image is a right angled triangle.

Hint

Formula used

\$("hypotenuse")^2 = ("side")^2 + ("side")^2\$

Step

From the image

Hypotenuse = 17,
opposite side = 8x,
adjacent side = 15x

Step

Use Pythagora’s theorem,

\$(17)^2 = (8x)^2 + (15x)^2\$

⇒ \$289 = 64x^2 + 225x^2\$

Step

On Cancellation

\$\cancel(289)^1 = \cancel(289)^1 \times x^2\$

⇒ \$x^2 = 1\$

⇒ \$x = 1\$

Step

Hence, the value of x is